Chapter 5 Review: Expressions

Marty bought a shirt for $9.50, sandals for $15.50, shorts for $11.75, and sunscreen for $5.25. Use mental math to find the total amount he spent. Explain.

$42; Sample answer: $9.50 + $15.50 = $25 and $11.75 + $5.25 = $17, $25 + $17 = $42.

Add (-12x + 6) + (4x - 12).

-8x - 6

Evaluate the expression 10b/ a if b = 6 and a = 2.

10(6)/ 2 = 60/2 = 30

Evaluate the expression 2(b + c)/ a if a = 3, b = 5, and c = 1.

2(5 + 1)/ 3 = 2(6)/ 3 = 12/3 = 4

Write the expression 6a - 2(a - 1) in simplest form.

6(a) + [−2(a) + −2(−1)] = 6a + [−2a + 2] = 6a − 2a + 2 = 4a + 2

JOGGING Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day, and so on. On which day will Roberta jog 13 laps if the pattern continues?

6th day

Find the GCF of 14ab, 7a.

7a(2b) , 7a(1) 7a

Subtact (7x - 10) - (-6x - 8).

7x − 10 + 6x + 8 = 7x + 6x − 10 + 8 = 13x - 2

Name the property shown by each statement. a. c × 1 = c b. 83 + (52 + 17) = (83 + 52) + 17 c. 22 + b + 18 = b + 22 + 18

a. Identity (×) b. Associative (+) c. Commutative (+)

Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence. a. 0.2, 0.6, 1.0, 1.4, ... b. 81, 90, 99, 108, ....

a. add 0.4; 1.8, 2.2, 2.6 b. add 9; 117, 126, 135

Use the Distributive Property to evaluate expression −5(6 + x)

−5(6) ⁺ −5(x) = −30 − 5x