TCAP REVIEWEquations/Expressions

Word Problems

Equations/Expressions

• Camera World rents video cameras by the day. The store charges $6.00 per day and a one-time cleaning fee of $2.50. If x represents a number of days, which expression can be used to determine the total charge, in dollars, to rent a video camera for x days?

• A. $6 ( x + $2.50)• B. $2.50x + $6• C. $6x + $2.50• D. $8.50x

Equations/Expressions

• The perimeter of a rectangle is 200 feet. The short sides are each 25 feet long, but the lengths of the long sides are unknown. Which equation represents this situation?

• A. 2(25) + 2a = 200• B. 25 + 2a = 200• C. 2 (25) a = 200• D. 25a = 200

Equations/Expressions

• Jorge has a window washing business. He charges $10 to go to a home and $3 for each window that he washes. Let c = costs and n = number of windows. Which equation would give the cost for a house with any number of windows?

• A. c = 10 + 3n• B. c = 10n + 3• C. c = 3n• D. c = n ( 10 + 3)

Equations/Expressions• A cheese pizza costs $6.00 not including tax.

Additional toppings may be added for $0.85 each. Which expression represents the cost of a cheese pizza with t additional toppings?

• A. $6.85t• B. $6.00t + $0.85t• C. $6.00 + $0.85t• D. $6.00t + $0.85

Equations/Expressions• Donna raises money for her school chorus program by walking

in a race. • Mrs. Stephens gives a total of $5. • Mr. Jones give $2 for every mile Donna walks in the race.• Donna walks m miles. Which expression represents the total

amount of money she receives from Mrs. Stephens and Mr. Jones?

• A. 2 + 5 x m• B. 5 + 2 x m• C. 7 x m• D. 7 + m

Equations/Expressions• Look at the expression below.

4n - 7

5Which of these has the same meaning as this expression?

A. Seven less than the sum of four times a number n and five

B. The difference between seven and five less than four times a number n

C. Seven less than the quotient when four times a number n is divided by five.

D. The difference between seven and the quotient

When five is divided by four times a number n

Equations/Expressions• Which expression means the same as the

description below?Five times the sum of four and five tenths and x

A. 5x + 4.5

B. 5 (4.5 + x )

C. 5 + 4.5 + x

D. 5 (4.5x)

Word Problems

Focus: Basic

One- Step

Word Problems

• Dan worked as a volunteer for a total of 103 hours in 21 days. He worked about the same number of hours each day. Which is the best estimate of the number of hours Dan worked as a volunteer each day?

A. 3

B. 4

C. 5

D. 6

Word Problems• The band wants to go to a concert. The band director told

Mae to estimate how much it would cost for 27 students to go to the concert if the tickets cost $17.50 each. Mae estimated that the total cost will be approximately $50.00. Joey says Mae’s estimate is not reasonable. Who is correct and why?

A. Joey, because 27 rounds to 30 and $17.50 rounds to $10. 30 x $10 is $300

B. Joey, because $20 x 30 = $600

C. Mae, because 27 rounds to 30 and $17.50 rounds to $20. 30 + $20 is $50

D. Mae, because 27 x $1.75 is $47.25

Word Problems• Candice wants to buy colored art pens that

cost $0.75 each. What is the greatest number of these colored art pens that Candice can purchase with $10.50?

A. 10

B. 12

C. 14

D. 16

Word Problems• Danielle had $33.58. She spent $19.99 of

this money on art supplies. How much money should Danielle have left?

A. $53.57

B. $26.41

C. $14.58

D. $13.59

Word Problems• Scott was 63 3/8 inches tall when he

started 7th grade and 65 ¼ inches tall when he started 8th grade. How many inches did he grow during this time?

A. 2 5/8 inches

B. 1 ¾ inches

C. 2 ½ inches

D. 1 7/8 inches

Word Problems• A recipe for 1 cake requires 1 ¾ cups

of water. How many cups of water are required to make 5 cakes using this recipe?

A. 8 ¾

B. 6 ¾

C. 5 ¾

D. 3 ¼

Word Problems• Of the 75 teachers at a school, 15 teach

mathematics. What percent of the teachers at the school teach mathematics?

A. 2%

B. 5%

C. 15%

D. 20%

Word Problems• Lauren travels 9 ½ miles to the gym

each day. Amy travels 5 ¾ miles to the gym. How much closer to the gym does Amy live than Lauren?

A. 3 ¼ miles

B. 3 ½ miles

C. 3 ¾ miles

D. 4 ¼ miles

Word Problems• Bo Tyler bought a book on sale for

$18.79. The original cost of the book was $24.25. How much money did Bo Tyler save?

A. $5.46

B. $5.56

C. $5.66

D. $6.46

Word Problems• The Tigers won 45% of their 40 games.

How many games did the Tigers win?

A. 15

B. 16

C. 17

D. 18

Word Problems• Barbara placed 846 photographs into 12 photo

albums. She put about the same number of photographs in each album. Which is the best estimate of the number of photographs Jordan put in each album?

A. 40

B. 45

C. 55

D. 70

Word Problems• Roberto is making cookies using a recipe. He

will use ½ of every measurement listed in the recipe. If the recipe requires ¾ cup of water, how much water should Roberto use?

A. 3/2 cups

B. 2/3 cups

C. ½ cups

D. 3/8 cups

Word Problems

• The temperature at 3:00 p.m. was 65 degrees Fahrenheit. By 9:00 p.m., the temperature had decreased by 27 degrees. Which integer best represents the temperature change, in degrees Fahrenheit, from 3:00 to 9:00?

A. -38

B. -27

C. 27

D. 38

Word Problems

• The area of the floor in Mrs. Johnson’s classroom is 400 square feet. Carpet covers 80 square feet of the floor. What percent of the classroom floor is covered by carpet?

A. 5%

B. 20%

C. 50%

D. 80%

Word Problems

Focus: Multi-Step

Word Problems

• Ivan had $28.50 saved for gardening supplies. He spent $13.75 for plants and $6.99 for plant food. He wants to spend $15.99 on flower bulbs. Based on the amount he has left, how much more money will he need?

A. $7.76

B. $8.23

C. $20.74

D. $23.75

Word Problems

• Christine bought a sweater for $22.45 and a hat for $19.78. She paid with a $50 bill. How much money did Christine get back?

A. $7.77

B. $7.87

C. $8.87

D. $92.23

Word Problems

• Mr. Franklin asked each of his 30 students to select their favorite radio station.

• 1/3 of the students chose Station K• 1/5 of the students chose Station L• The remaining students chose Station M• How many students chose Station M as their favorite

radio station?

A. 10

B. 14

C. 6

D. 4

Word Problems

• There are 30 students in Mr. Kendel’s biology class and 12 of them are boys. Half of the boys in the class play on the boys basketball team. What percent of Mr. Kendel’s class play on the boys basketball team?

A. 6%

B. 20%

C. 40%

D. 50%

Word Problems

• At Anthony Middle School there are 60 boys. The ratio of boys to girls is 4 to 3. How many girls are at Anthony Middle School?

A. 30

B. 45

C. 75

D. 80

Word Problems

• Joey solves math problems at a rate of about 3 problems every 7 minutes. He continues to work at the same rate. How many minutes should Joey take to solve 45 math problems?

A. 15 minutes

B. 21 minutes

C. 105 minutes

D. 135 minutes

Word Problems

• When Wanda went to summer camp, she took $50.00 spending money that she had earned doing yard work. She purchased a camp T-shirt for $16.50. What percent of Wanda’s original amount does she have left?

A. 16%

B. 33%

C. 67%

D. 84%

Word Problems

• Coretta made 7 pies for a family reunion. During the reunion, 3 ¼ of the pies were eaten. Coretta took 1 ½ pies to work for her friends. How many pies were left?

A. 2 ¼

B. 2 2/3

C. 4 ¾

D. 5 ½

Word Problems PLAYER NUMBER OF POINTS SCORED

Alex 9

Doug 12

Nick 15

Keith 5

Sam 4

What percent of the total number of points did Alex score?A.9%B.20%C.25%D.45%

Word Problems

• Victoria has $187.20 to spend on meals on her vacation. She plans to spend $7.80 for each meal. If she eats 3 meals per day, how many days long is her vacation?

A. 6 days

B. 8 days

C. 12 days

D. 24 days