Chapter 1
What is the absolute value of 113?
113
Simplify the expression
3[x + 2(x − 3)]
9x - 18
Solve the equation
x - 7 = -12
x = -5
List all the factors of 28.
1, 2, 4, 7, 14, 28
Evaluate the expression
−6.37 + 7.423
1.053
Simply the expression. b-2 x b5
b3
Estimate by rounding each term to the hundreds place:
9146 + 2362 − 875
10,600
Solve the inequality and graph the solution.
x + 3 ≥ −2
x ≥ −5
Find BOTH the GCF & LCM of the given numbers.
30 and 72
GCF = 6
LCM = 360
24/25 divided 8/15
9/5
Name the property of addition illustrated by each equation.
a. (2x + 3) + 0 = 2x + 3
b. (7x + 4) + 3x = 3x + (7x + 4)
A. Identity
B. Commutative
Write 4.26 × 10-5 in standard form.
0.0000426
Solve the equation
−7d + 5 − 8d = −40
d = 3
Write the prime factorization of 136.
23 x 17
1/6a = 4/3
a = 8
Evaluate the cube root of -1000
-10
Evaluate each expression.
5a − 3b when a = −2 and b = −7
11
Write AND solve an equation for each question.
How many boxwoods did a landscaper buy if he spent $432 for 27 camellias that cost $8 each and the boxwoods that cost $12 each?
12x + 8(27) = 432
18 boxwoods
Rename each mixed number as an improper fraction.
a. 5 & 2/9
b. -11 & 5/7
a. 47/9
b. -82/7
Estimate the square root of 18 to the nearest tenth.
4.2
Evaluate the expression
−10 − (−18) − 33
-25
If cement costs $67 per cubic yard and the driveway requires approximately 12 yd, estimate the cost for the cement to make the driveway.
$700
Write AND solve an inequality for the question.
Emily averages riding at 12 mi/hr when training for her long-distance bicycle races. How much time does she need to set aside for a training ride of no less than 30 miles?
12t ≥ 30
at least 2.5 hours
Solve the proportion 6/y = -5/4
y = -24/5
5/12 - 3/4 + 5/6
1/2