splash screen. over lesson 1–2 5-minute check 1 a.naturals (n), wholes (w), integers (z) b.wholes...

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Page 1: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes
Page 2: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Over Lesson 1–2

A. naturals (N), wholes (W), integers (Z)

B. wholes (W), integers (Z), reals (R)

C. naturals (N), wholes (W), rationals (Q), reals (R)

D. naturals (N), wholes (W), integers (Z), rationals (Q), reals (R)

Page 3: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Over Lesson 1–2

A. naturals (N), wholes (W)

B. reals (R)

C. rationals (Q), reals (R)

D. integers (Z), reals (R)

Page 4: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Over Lesson 1–2

A. Associative Property of Addition

B. Identity Property

C. Distributive Property

D. Substitution Property

Name the property illustrated by3(4 + 0.2) = 3(4) + 3(.02).

Page 5: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Over Lesson 1–2

Which equation illustrates the Additive Identity Property?

A. 5 + 0 = 5

B. 5(1) = 5

C. 5 + (–5) = 0

D.

Page 6: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Verbal to Algebraic Expression

A. Write an algebraic expression to represent the verbal expression 7 less than a number.

Answer: n – 7

Page 7: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Verbal to Algebraic Expression

B. Write an algebraic expression to represent the verbal expression the square of a number decreased by the product of 5 and the number.

Answer: x2 – 5x

Page 8: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. 6x

B. x + 6

C. x6

D. x – 6

A. Write an algebraic expression to represent the verbal expression 6 more than a number.

Page 9: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. x3 – 2

B. 2x3

C. x2 – 2

D. 2 + x3

B. Write an algebraic expression to represent the verbal expression 2 less than the cube of a number.

Page 10: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Algebraic to Verbal Sentence

A. Write a verbal sentence to represent 6 = –5 + x.

Answer: Six is equal to –5 plus a number.

Page 11: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Algebraic to Verbal Sentence

B. Write a verbal sentence to represent 7y – 2 = 19.

Answer: Seven times a number minus 2 is 19.

Page 12: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. The difference of a number and 3 is 7.

B. The sum of a number and 3 is 7.

C. The difference of 3 and a number is 7.

D. The difference of a number and 7 is 3.

A. What is a verbal sentence that represents the equation n – 3 = 7?

Page 13: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. Five is equal to the difference of 2 and a number.

B. Five is equal to twice a number.

C. Five is equal to the quotient of 2 and a number.

D. Five is equal to the sum of 2 and a number.

B. What is a verbal sentence that represents the equation 5 = 2 + x?

Page 14: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes
Page 15: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Identify Properties of Equality

A. Name the property illustrated by the statement.

a – 2.03 = a – 2.03

Answer: Reflexive Property of Equality

Page 16: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Identify Properties of Equality

B. Name the property illustrated by the statement.

If 9 = x, then x = 9.

Answer: Symmetric Property of Equality

Page 17: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. Reflexive Property of Equality

B. Symmetric Property of Equality

C. Transitive Property of Equality

D. Substitution Property of Equality

A. What property is illustrated by the statement?

If x + 4 = 3, then 3 = x + 4.

Page 18: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. Reflexive Property of Equality

B. Symmetric Property of Equality

C. Transitive Property of Equality

D. Substitution Property of Equality

B. What property is illustrated by the statement?

If 3 = x and x = y, then 3 = y.

Page 19: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes
Page 20: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Solve One-Step Equations

A. Solve m – 5.48 = 0.02. Check your solution.

m – 5.48 = 0.02 Original equation

m – 5.48 + 5.48 = 0.02 + 5.48 Add 5.48 to each side.

m = 5.5 Simplify.

Check m – 5.48 = 0.02 Original equation

Answer: The solution is 5.5.

0.02 = 0.02 Simplify.

5.5 – 5.48 = 0.02 Substitute 5.5 for m.

?

Page 21: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Solve One-Step Equations

Original equation

Simplify.

Page 22: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Solve One-Step Equations

Answer: The solution is 36.

Substitute 36 for t.

Simplify.

Check Original equation

?

Page 23: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. –8

B. –2

C. 2

D. 8

A. What is the solution to the equation x + 5 = 3?

Page 24: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

B. What is the solution to the equation

A. 5

B.

C. 15

D. 30

Page 25: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Solve a Multi-Step Equation

Solve 53 = 3(y – 2) – 2(3y – 1).

53 = 3(y – 2) – 2(3y – 1) Original equation

53 = 3y – 6 – 6y + 2 Apply the Distributive Property.

53 = –3y – 4 Simplify the right side.

57 = –3y Add 4 to each side.

–19 = y Divide each side by –3.

Answer: The solution is –19.

Page 26: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

What is the solution to 25 = 3(2x + 2) – 5(2x + 1)?

A. –6

B.

C.

D. 6

Page 27: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Solve for a Variable

Surface area formula

Subtract πr 2 from

each side.

Simplify.

Page 28: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Solve for a Variable

Divide each side by πr.

Simplify.

Page 29: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

GEOMETRY The formula for the perimeter of a rectangle is where P is the perimeter, and w is the width of the rectangle. What is this formula solved for w?

A.

B.

C.

D.

Page 30: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A B

C D

Read the Test ItemYou are asked to find the value of the expression 4g – 2. Your first thought might be to find the value of g and then evaluate the expression using this value. Notice that you are not required to find the value of g. Instead, you can use the Subtraction Property of Equality.

Page 31: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

Solve the Test Item

Answer: C

Original equation

Subtract 7 from each side.

Simplify.

Page 32: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

A. 12

B. 6

C. –6

D. –12

If 2x + 6 = –3, what is the value of 2x – 3?

Page 33: Splash Screen. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes

• Assignment: pg 22 #22-28, 30-33, 35-42, 45, 46