mathacle pset test algebra i 1st quarterly level 1...

Mathacle

PSet ---- Algebra, Algebra I 1st Quarterly Test Level ---- 1 Number ----- 2 Name: Date:

1

Algebra I -- 1st Quarterly Test

Simplify or find the equivalent expression. 1.) ( ( | 6.1|))− − − − = (A) 6.1 (B) | 6.1|− (C) ( (6.1))− − (D) | ( 6.1) |− − (E) | 6.1|

2.) 3 1

4 3

− −− − =−

(A) 7

12

−

(B) 13

12 − −

(C) 13

12

−−

(D) 5

12

−

(E) 5

12

3.) | 4 | | 9 | 36− ⋅ − + = (A) 72 (B) 23 (C) 108− (D) ( 36) 36− − + (E) | 6 | | 6 |− −

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4.) | 6 10 | | 9 11|− − + − = (A) | ( 2) |− − − (B) 0 (C) 4 (D) ( 2)− − (E) | 6 |−

5.) | 4 8 |

101

− +− − =−

(A) | ( 16) |− − − (B) | 6 |− − (C) 14− (D) ( 14)− − (E) | 6 |− Evaluate the expression for the given value of x

6.) 7 ( 3) ( 5) 3 _________x x− + − + − + = , 1 ( | 3 |)x = − − − (A) 5 (B) 6 (C) 7 (D) 8 (E) 9 7.) 14 2 ________x x− + = , lgx A ebra= (A) 3 lg 14A ebra − (B) 3 lg 14A ebra + (C) lg 14 2 lgA ebra A ebra+ + + (D) lg 14 2 lgA ebra A ebra− + + (E) lg 14 2A ebra x− + +

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Simplify the variable expression. 8.) ( 2)( )( )( 2 )x x x− − − = (A) 32x− (B) 32x (C) 24x− (D) 34x− (E) 34x

9.) 1

( 12 )4

x − − =

(A) 4x− (B) 48x

(C) 1

124

x− −

(D) 3x− (E) 3x

10.) 8 20

10 4x x

− − =

(A) 4x− (B) 4x (C) 24x− (D) 2x (E) 24x

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11.) 1

( )( 4)4

k − − − =

(A) k−

(B) 14

k +

(C) 14

k −

(D) 44

k −

(E) 44

k +

Use distributive property to rewrite the expression without parentheses

12.) ( 3) | 2 |t− − ⋅ − = (A) 2 6t− + (B) 2 6t − (C) 2 6t− − (D) 2 6t + (E) 5t− − 13.) 5( 3)r− − − = (A) 8r− − (B) 5 15r − (C) 5 5r + (D) 5 15r + (E) 5 3r +

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14.) ( )( 2)x x− − − = (A) xx 22 + (B) xx 22 −− (C) 4x− (D) 3x− (E) xx 22 − 15.) ( )( 2) ________a a− − = (A) 2 2a a+ (B) 2 2a a− + (C) 2 2a + (D) 2 2a a− − (E) 4a− Evaluate each expression 16.) 44 10 4 3 4(2 5)× ÷ + − − = (A) 29− (B) 30− (C) 31− (D) 32− (E) 33− 17.) 2[(4 4 5) 6 4] 2+ × ÷ − + = (A) 1− (B) 0 (C) 1 (D) 2 (E) 3

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18.) 3 {5[7 (4 3)] 5}− − − − = (A) 22− (B) 21− (C) 20− (D) 19− (E) 18− 19.) 2 {6 [2 (5 2) 7]}+ − − + + = (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 20.) 0 100 1000 {[100 (1 0 )] 1}⋅ − − − = (A) 1− (B) 0 (C) 1 (D) 2 (E) 3 Simplify the expression by combining like terms 21.) 5 3a a+ = (A) 215a (B) 2a (C) 15a (D) 28a (E) 8a

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22.) 2 ( 3)n n− − − = (A) 5n− (B) 25n− (C) n (D) 2n (E) 25n 23.) ( 3) | 8 |n n− − − − = (A) | 5 |n− −

(B) 25n− (C) 11n− (D) 211n− (E) 25n 24.) 8 ( 2( ))a a+ − − − = (A) 6a− + (B) 3 8a + (C) 6 (D) a−8 (E) 15 8a + 25.) 15 8 ( 5( )( 1)) 11y c c y− − − − − + = (A) 3 26c y+ (B) 3 26c y− + (C) 13 26c y− + (D) 40 26c y+ (E) 13 26c y+

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26.) 2( ) 2( ( )) 4 3( ) ( ( ))y z y z y− − − − − + − − − − − = (A) 5y z+ (B) 7y z− (C) 5 3z y− + (D) 5 3y z− + (E) 7 5z y− +

Apply the distributive property.

27.) 2( 3)x + = (A) 6x (B) 2 3x + (C) 2 6x + (D) 6x + (E) 32x 28.) 2( 8 4)y− − − = (A) 16 4y − (B) 8 8y− + (C) 8 6y− − (D) 16 8y + (E) 14y 29.) ( 2)( 1)a b− + − = (A) 2 2b− (B) 2 2a b− − (C) 2 2a b− − (D) 2 2a b− − (E) 2 2 2a b− −

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30.) 1 [( 3)( )]x y− − − = (A) 1 3 3x y− − (B) 1 3 3x y+ − (C) 1 4 3x y+ + (D) 1 3 3x y+ + (E) 3 3x y− 31.) ( 2)[( 4)( ( ))]a b− − − − − = (A) 2 4 4a b− + − (B) 8 8a b− + (C) 2 4 4a b− − + (D) 8 a b+ − (E) 8 4 4a b+ − Apply the distributive property. Then simplify by combining like terms 32.) 4( 5) 12x − + = (A) 4 8x − (B) 4 7x + (C) 4 7x − (D) 7x + (E) 8x − 33.) 8( 2 ) 2( 4 )a b a b− + − =

(A) 10 6a b− (B) 10 20a b− (C) 10 24a b− (D) 16 24a b− (E) 10 4a b−

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34.) 2( 2)( 1)( ) ( 7)( )q w w q− − − − − − − + = (A) 1 11q w− (B) wq 33 − (C) 11q w− + (D) wq 33 +− (E) 11 11q w+ 35.) ( ( 1) ) 2[ ( 1) ( 2 )]e f e f− − + − − − + − = (A) 5 3f e− (B) fe 33 − (C) 2e f+ (D) 5e f− (E) fe 53 + 36.) 3( 2)[( 1)( 2)( ) ( 1)]y y y− − − − − − − − − = (A) 67 +− y (B) 6 5y − (C) 3 2y− − (D) 2 4y − (E) 5 3y − 37.) ( 2 ( )) ( 1)[( ) 2( 1)]n p n n p− − + − − − − + − − + = (A) 1n p− + + (B) 3n p− + (C) 2n p− − + (D) 2 2n p− + + (E) 2 1n p− − +

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Solve each equation.

38.) 7 2 1x x+ = − (A) 6− (B) 2− (C) 6 (D) 2 (E) 4 39.) 0.3 5 0.1x x+ = +

(A) 49

13

(B) 7

(C) 51

7

(D) 0.7

(E) 51

13

40.) 1 1

133 4

a a a− = −

(A) 12 (B) 11

(C) 156

11

(D) 1

(E) 13

2

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41.) 1 9 3

(3 1)4 4 4

xx x

+ = − +

(A) 8 (B) 5− (C) 2 (D) 10 (E) 8− 42.) xxxxx 7)6(355)3(41521 +−+=−−++ (A) 1.6−

(B) 8

5

(C) 2.4 (D) 5.2 (E) 2.4− 43.) Six less than 1n + . (A) 7 n+ (B) 7n − (C) 5n + (D) 5n − (E) 5 n− 44.) The product of five and x. (A) 5 n+ (B) 5n (C) x5 (D) 5+x

(E) 5

x

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45.) Four less a third of a number.

(A) 1

43

x −

(B) 1

43

x−

(C) 1

43

x<

(D) 1

43

x= −

(E) 1

43

x>

46.) Four times the sum of n and two. (A) 4 2n + (B) 4( 2)n − (C) 4 ( 2)n+ + (D) 8n + (E) 4 8n + 47.) A third of the difference of n and -3.

(A) 1

( 3)3

n −

(B) 1

33

n −

(C) 1

33

n +

(D) 1

13

n +

(E) 1

33

n+ −

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48.) If 2(x – 1) = 8, what does 3

3

x

x

+−

equal?

(A) 1

4

(B) 7 (C) 4

(D) 1

7

(E) 6 49.) When twice a number is increased by four, the result is 200. What is the number? (A) 98 (B) 97 (C) 96 (D) 95 (E) 94

50.) If (5 4) 1

74

m+ + = , What is the value of m?

(A) 1− (B) 0 (C) 1 (D) 2 (E) 3 51.) How old was a person exactly 2 years ago if exactly x years from now the person will be y years old? (A) 2y x+ − (B) 2x y− − (C) 2y x− + (D) 2y x− − (E) 2x y− +

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52.) If n is 4 more than w and w is 1 less than z, what is the value of n when z

=2? (A) 5 (B) 4 (C) 3 (D) 2 (E) 1 53.) If 4+ x is 5 more than 10, what is the value of 3x?

(A) 11 (B) 22 (C) 33 (D) 44 (E) 55 54.) The result when a number is divided by 2 is one more than twice equal to

the result when that same number is divided by 4. What is that number? (A) 0 (B) 1 (C) 3 (D) 4 (E) No Solutions

55.) 8|4|

3|9|

=−=−

k

k

What is the value of k that satisfies both equations above? (A) 0 (B) 9 (C) 1 (D) 12 (E) 4

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56.) In a group of 250 people, there were 40 more males than females. How many males were in the group? (A) 105 (B) 125 (C) 145 (D) 165 (E) 185 57.) Zelda, Barry, and Gil have a total of 90 DVDs. Zelda has 10 less DVDs than Barry has, and Gil has twice as many DVDs as Zelda has. How many DVDs does Barry have? (A) 20 (B) 30 (C) 40 (D) 50 (E) 60 58.) At a music store, the number of CDs Paul bought was $10 each, and the number of CDs Kate bought was $12 each. If together they paid a total of $112 for 10 CDs, how many CDs did Kate buy? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8

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59.) Anna Maria bought 4 more boxes of pencils than boxes of erasers. There are 12 pencils in each box of pencils and 18 erasers in each box of erasers. If the number of pencils that Anna Maria bought equals 6 more than the number of erasers that she bought, how many erasers did Anna Maria buy? (A) 126 (B) 128 (C) 130 (D) 132 (E) 134

60.)

On the number line above, the tick marks are equally spaced and their coordinates are shown. Of those coordinates, what is d expressed in term of b ?

(A) 4d = − (B) 2 8d b= − (C) 4 8d b= − (D) 5 8d b= − (E) 2 8d b= +

61.) Solve 2( 2 1) 2x x x− − = − , if {0,1, 2, 3, 4}x ∈ (A) {0,1} (B) {1, 2} (C) {1, 2, 3} (D) { 1,1, 2}− (E) {0,1, 2, 3, 4}

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62.) Which of the following is the Multiplicative Inverse of 1

( 1)3

x − ?

(A) 0 (B) 3 1x − (C) 3(1 )x− (D) 1

(E) 3

1x −

63.) Which of the following is not equivalent to the equation 3 5 9a b c− = + ?

(A) 3 9

5

a bc

− −=

(B) ( )15 9

3b a c= − −

(C) 5 3 9a c b− = − (D) 3 5 9a b c= + + (E) 3 5 9a b c− − = 64.) Find all the possible values that satisfy2 | 5 | 7 3x− − + = . (A) {7} (B) {3, 7} (C) { 3, 5}− (D) { 2, 3, 5, 7}− (E) No Solutions 65.) Solve | 3 | 5n − ≥ . (A) 2n ≤ − or 8n ≥ (B) 2n ≥ − and 8n ≤ (C) 2 8n− < < (D) 2 8n− ≥ ≤ (E) 8n ≤ − or 2n ≥

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66.) Write an inequality involving absolute value to describe each graph. Use x as the variable.

. (A) 6 1x− ≤ ≤

(B) 5 7

2 2x + <

(C) 5 7

2 2x − >

(D) 7

32

x − <

(E) 3 4x + <

67.) Three consecutive integers have the property that the difference of the squares of the middle integer and the least integer exceeds the largest integer by more than 3. Find the three smallest consecutive integers having this property. (A) 5, 6, 7 (B) 6, 7, 8 (C) 5, 7, 9 (D) 6, 8,10 (E) 7, 8, 9 68.) Box A contains 142 marbles, box B contains 152 marbles, and box C contains 136 marbles. Marbles are to be transferred only from box B to box C. What is the least number of marbles that must be transferred so that box C will contain more marbles than each of the other boxes? (A) 6 (B) 7 (C) 8 (D) 9 (E) 10

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69.)

For all integers x and y that are greater than 1, xy x y> +

Of the following values for x andy , which shows that the state above is not true? (A) 0, 2x y= = (B) 1, 1x y= = (C) 2, 2x y= = (D) 3, 1x y= = (E) 4, 3x y= = 70.) A general rule for determining whether a person can afford to buy a particular home is that the price of the home should not exceed 2.5 times the annual income of the buyer. According to this rule, what should be a person’s minimum average monthly income to afford a home that sells for $120,000? (A) $1,000 (B) $2,000 (C) $3,000 (D) $4,000 (E) $5,000

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Answer Key: 1.) B 2.) C 3.) E 4.) A 5.) B 6.) C 7.) A 8.) D 9.) E 10.) E 11.) A 12.) C 13.) D 14.) A 15.) B 16.) C 17.) D 18.) A 19.) C 20.) B 21.) E 22.) C 23.) A 24.) D 25.) B 26.) A 27.) C 28.) D 29.) E 30.) B 31.) B 32.) A 33.) C 34.) B 35.) E

36.) A 37.) C 38.) B 39.) B 40.) A 41.) B 42.) A 43.) D 44.) C 45.) B 46.) E 47.) D 48.) C 49.) A 50.) E 51.) D 52.) A 53.) C 54.) E 55.) D 56.) C 57.) B 58.) C 59.) A 60.) E 61.) B 62.) E 63.) C 64.) B 65.) A 66.) B 67.) A 68.) D 69.) C 70.) D

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Answer Sheet 1.) _________ 2.) _________ 3.) _________ 4.) _________ 5.) _________ 6.) _________ 7.) _________ 8.) _________ 9.) _________ 10.) _________ 11.) _________ 12.) _________ 13.) _________ 14.) _________ 15.) _________ 16.) _________ 17.) _________ 18.) _________

19.) _________ 20.) _________ 21.) _________ 22.) _________ 23.) _________ 24.) _________ 25.) _________ 26.) _________ 27.) _________ 28.) _________ 29.) _________ 30.) _________ 31.) _________ 32.) _________ 33.) _________ 34.) _________ 35.) _________ 36.) _________

37.) _________ 38.) _________ 39.) _________ 40.) _________ 41.) _________ 42.) _________ 43.) _________ 44.) _________ 45.) _________ 46.) _________ 47.) _________ 48.) _________ 49.) _________ 50.) _________ 51.) _________ 52.) _________ 53.) _________ 54.) _________

55.) _________ 56.) _________ 57.) _________ 58.) _________ 59.) _________ 60.) _________ 61.) _________ 62.) _________ 63.) _________ 64.) _________ 65.) _________ 66.) _________ 67.) _________ 68.) _________ 69.) _________ 70.) _________

mathacle pset test algebra i 1st quarterly level 1...

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