Question 1

Find the reciprocal, if it exists.
-$\frac{9 b}{-2 a}$

Accepted Answer

A)  $-\frac{9 b}{2 a}$ 
B)  $-\frac{2 b}{9 a}$ 
C)  $-\frac{9 a}{2 b}$ 
D)  $-\frac{2 a}{9 b}$ 
A)  $-\frac{9 b}{2 a}$ 
B)  $-\frac{2 b}{9 a}$ 
C)  $-\frac{9 a}{2 b}$ 
D)  $-\frac{2 a}{9 b}$

Question 2

Simplify.
--| -20|-|-25-2|

Accepted Answer

A)  -7 
B)  7 
C)  47 
D)  -47 
A)  -7 
B)  7 
C)  47 
D)  -47

Question 3

Multiply.
-$-6 \cdot(-2) \cdot(-3) \cdot 5 \cdot(-10)$

Accepted Answer

A)  -1800 
B)  1800 
C)  -16 
D)  -170 
A)  -1800 
B)  1800 
C)  -16 
D)  -170

Question 4

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$(3 w) 8$ as $24 w$

Accepted Answer

The answer of Use the commutative and/or associative laws to...

Question 5

Multiply.
-$4(3 x+8 y+2)$

Accepted Answer

A)  $12 x+32 y+8$ 
B)  $12 x+32 y+2$ 
C)  $12 x+8 y+8$ 
D)  $12 x+8 y+2$ 
A)  $12 x+32 y+8$ 
B)  $12 x+32 y+2$ 
C)  $12 x+8 y+8$ 
D)  $12 x+8 y+2$

Question 6

Remove parentheses and simplify.
-$48 r+60-5(6 r+4)$

Accepted Answer

A)  $18 r+40$ 
B)  $-50 \mathrm{r}$ 
C)  $18 \mathrm{r}-1$ 
D)  $48 r+4$ 
A)  $18 r+40$ 
B)  $-50 \mathrm{r}$ 
C)  $18 \mathrm{r}-1$ 
D)  $48 r+4$

Question 7

Solve the problem.
-The stock market gained 54 points on Tuesday and lost 51 points on Wednesday. It had closed on Monday at 2521 points. Where did the market close on Wednesday?

Accepted Answer

A)  2626 points 
B)  2518 points 
C)  2416 points 
D)  2524 points 
A)  2626 points 
B)  2518 points 
C)  2416 points 
D)  2524 points

Question 8

Write an equivalent expression. Use a commutative law.
-$p q+z$

Accepted Answer

A)  $p q z$, or $p+q+z$ 
B)  $q p+z$, or $z+p q$ 
C)  $\mathrm{z}-\mathrm{pq}$ 
D)  pq - z 
A)  $p q z$, or $p+q+z$ 
B)  $q p+z$, or $z+p q$ 
C)  $\mathrm{z}-\mathrm{pq}$ 
D)  pq - z

Question 9

Multiply.
-$\left(-\frac{10}{27}\right)\left(\frac{7}{10}\right)$

Accepted Answer

A)  $-\frac{7}{27}$ 
B)  $-\frac{24}{7}$ 
C)  $\frac{1}{54}$ 
D)  $-\frac{189}{100}$ 
A)  $-\frac{7}{27}$ 
B)  $-\frac{24}{7}$ 
C)  $\frac{1}{54}$ 
D)  $-\frac{189}{100}$

Question 10

Evaluate.
-$\frac{p}{q}$, when $p=28$ and $q=4$

Accepted Answer

A)  7 
B)  $7 \frac{1}{4}$ 
C)  8 
D)  6 
A)  7 
B)  $7 \frac{1}{4}$ 
C)  8 
D)  6

Question 11

Add. Do not use a number line except as a check.
-$-\frac{5}{9}+\left(-\frac{2}{9}\right)$

Accepted Answer

A)  $\frac{1}{3}$ 
B)  $-\frac{7}{9}$ 
C)  $\frac{7}{9}$ 
D)  $-\frac{1}{3}$ 
A)  $\frac{1}{3}$ 
B)  $-\frac{7}{9}$ 
C)  $\frac{7}{9}$ 
D)  $-\frac{1}{3}$

Question 12

Simplify.
-$-9-0-(-8)-2+7$

Accepted Answer

A)  -8 
B)  -22 
C)  8 
D)  4 
A)  -8 
B)  -22 
C)  8 
D)  4

Question 13

Add. Do not use a number line except as a check.
-$-\frac{3}{5}+\frac{1}{15}$

Accepted Answer

A)  $\frac{8}{15}$ 
B)  $\frac{2}{3}$ 
C)  $-\frac{8}{15}$ 
D)  $-\frac{2}{3}$ 
A)  $\frac{8}{15}$ 
B)  $\frac{2}{3}$ 
C)  $-\frac{8}{15}$ 
D)  $-\frac{2}{3}$

Question 14

Simplify.
-$-17+14-10-(-18)+6$

Accepted Answer

A)  11 
B)  -5 
C)  -25 
D)  -45 
A)  11 
B)  -5 
C)  -25 
D)  -45

Question 15

Solve the problem.
-If a garage charges $\$ 28$ for an oil change, how much will it take in if oil is changed on 35 cars?

Accepted Answer

A)  $\$ 63$ 
B)  $\$ 985$ 
C)  $\$ 980$ 
D)  $\$ 68$ 
A)  $\$ 63$ 
B)  $\$ 985$ 
C)  $\$ 980$ 
D)  $\$ 68$

Question 16

Subtract.
-$0.87-(-3.517)$

Accepted Answer

A)  4.487 
B)  3.060 
C)  4.387 
D)  2.647 
A)  4.487 
B)  3.060 
C)  4.387 
D)  2.647

Question 17

List the terms of the expression.
-$14-4 a b-8 b$

Accepted Answer

A)  $-14,-4, a, b,-8 b$ 
B)  $14,4 \mathrm{ab}, 8 \mathrm{~b}$ 
C)  $14,-4 a b,-8 b$ 
D)  $14,4, a, b, 8$ 
A)  $-14,-4, a, b,-8 b$ 
B)  $14,4 \mathrm{ab}, 8 \mathrm{~b}$ 
C)  $14,-4 a b,-8 b$ 
D)  $14,4, a, b, 8$

Question 18

State the real number that corresponds to the situation.
-This year corn production increased 53,000 pounds from last year on Steve's farm.

Accepted Answer

A)  53,000 
B)  $-53,000$ 
A)  53,000 
B)  $-53,000$

Question 19

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$(y+z)+4$ as $(4+z)+y$

Accepted Answer

The answer of Use the commutative and/or associative laws to...

Question 20

Find the absolute value.
-$|-19|$

Accepted Answer

A)  0 
B)  -19 
C)  38 
D)  19 
A)  0 
B)  -19 
C)  38 
D)  19

Find the reciprocal, if it exists. - $\frac{9 b}{-2 a}$

Simplify. --| -20|-|-25-2|

Multiply. - $-6 \cdot(-2) \cdot(-3) \cdot 5 \cdot(-10)$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(3 w) 8$ as $24 w$

Multiply. - $4(3 x+8 y+2)$

Remove parentheses and simplify. - $48 r+60-5(6 r+4)$

Solve the problem. -The stock market gained 54 points on Tuesday and lost 51 points on Wednesday. It had closed on Monday at 2521 points. Where did the market close on Wednesday?

Write an equivalent expression. Use a commutative law. - $p q+z$

Multiply. - $\left(-\frac{10}{27}\right)\left(\frac{7}{10}\right)$

Evaluate. - $\frac{p}{q}$ , when $p=28$ and $q=4$

Add. Do not use a number line except as a check. - $-\frac{5}{9}+\left(-\frac{2}{9}\right)$

Simplify. - $-9-0-(-8)-2+7$

Add. Do not use a number line except as a check. - $-\frac{3}{5}+\frac{1}{15}$

Simplify. - $-17+14-10-(-18)+6$

Solve the problem. -If a garage charges $\$ 28$ for an oil change, how much will it take in if oil is changed on 35 cars?

Subtract. - $0.87-(-3.517)$

List the terms of the expression. - $14-4 a b-8 b$

State the real number that corresponds to the situation. -This year corn production increased 53,000 pounds from last year on Steve's farm.

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(y+z)+4$ as $(4+z)+y$

Find the absolute value. - $|-19|$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 7: Introduction to Real Numbers and Algebraic Expressions

Find the reciprocal, if it exists. - 9b−2a\frac{9 b}{-2 a}−2a9b​

Simplify. --| -20|-|-25-2|

Multiply. - −6⋅(−2)⋅(−3)⋅5⋅(−10)-6 \cdot(-2) \cdot(-3) \cdot 5 \cdot(-10)−6⋅(−2)⋅(−3)⋅5⋅(−10)

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - (3w)8(3 w) 8(3w)8 as 24w24 w24w

Multiply. - 4(3x+8y+2)4(3 x+8 y+2)4(3x+8y+2)

Remove parentheses and simplify. - 48r+60−5(6r+4)48 r+60-5(6 r+4)48r+60−5(6r+4)