Question 1

Evaluate the expression for the given value of $x$.
-$3 x^{3}, x=1$

Accepted Answer

A)  -3 
B)  3 
C)  27 
D)  9 
A)  -3 
B)  3 
C)  27 
D)  9 B

Question 2

Find the reciprocal, if it exists.
-$-\frac{6}{7}$

Accepted Answer

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

Question 3

Collect like terms.
-$-9-4 m+12 n+8 m+12 n-3$

Accepted Answer

A)  $24 m+4 n+12$ 
B)  $8 m+20 n-12$ 
C)  $4 m+24 n-12$ 
D)  $-13 m+20 n+9$ 
A)  $24 m+4 n+12$ 
B)  $8 m+20 n-12$ 
C)  $4 m+24 n-12$ 
D)  $-13 m+20 n+9$ C

Question 4

Translate to an algebraic expression.
-Robbie drove his car at $50 \mathrm{mph}$ for thours. How many miles did he travel?

Accepted Answer

A)  $\frac{50}{t}$ 
B)  $50 \mathrm{t}$ 
C)  $50-\mathrm{t}$ 
D)  $\frac{\mathrm{t}}{50}$ 
A)  $\frac{50}{t}$ 
B)  $50 \mathrm{t}$ 
C)  $50-\mathrm{t}$ 
D)  $\frac{\mathrm{t}}{50}$

Question 5

Add. Do not use a number line except as a check.
-$-5.2+(-1.2)+10.8$

Accepted Answer

A)  4.4 
B)  -17.2 
C)  6.8 
D)  -4.4 
A)  4.4 
B)  -17.2 
C)  6.8 
D)  -4.4

Question 6

Provide an appropriate response.
-Choose the expression that is equivalent to the following: $3(2 a)+3(7 b)$

Accepted Answer

A)  $3(9 a b)$ 
B)  $6(2 a+7 b)$ 
C)  $3(2 a+7 b)$ 
D)  $6(9 \mathrm{ab})$ 
A)  $3(9 a b)$ 
B)  $6(2 a+7 b)$ 
C)  $3(2 a+7 b)$ 
D)  $6(9 \mathrm{ab})$

Question 7

Evaluate $-(-x)$ for the given value of $x$.
-$x=-32.90$

Accepted Answer

A)  -32.90 
B)  0.03 
C)  -0.03 
D)  32.9 
A)  -32.90 
B)  0.03 
C)  -0.03 
D)  32.9

Question 8

Solve the problem.
-If a roll of wallpaper costs $\$ 25$, how much will 8 rolls cost?

Accepted Answer

A)  $\$ 209$ 
B)  $\$ 42$ 
C)  $\$ 33$ 
D)  $\$ 200$ 
A)  $\$ 209$ 
B)  $\$ 42$ 
C)  $\$ 33$ 
D)  $\$ 200$

Question 9

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-(z7)8 as $56 \mathrm{z}$

Accepted Answer

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

Question 10

Collect like terms.
-$-9 z-(-7 z)$

Accepted Answer

A)  $-16 z$ 
B)  $2 z$ 
C)  $-2 z^{2}$ 
D)  $-2 z$ 
A)  $-16 z$ 
B)  $2 z$ 
C)  $-2 z^{2}$ 
D)  $-2 z$

Question 11

Write an inequality with the same meaning
-$20<44$

Accepted Answer

A)  $44 \geq 20$ 
B)  $4444$ 
D)  $44>20$ 
A)  $44 \geq 20$ 
B)  $4444$ 
D)  $44>20$

Question 12

Translate to an algebraic expression.
-Leanne had $\$ 27$ remaining after paying $x$ dollars for a dinner and a movie. How much did she have at the start of the evening?

Accepted Answer

A)  $\$ 27 x$ 
B)  $\$ 27-\mathrm{x}$ 
C)  $\$ 27+x$ 
D)  $x-\$ 27$ 
A)  $\$ 27 x$ 
B)  $\$ 27-\mathrm{x}$ 
C)  $\$ 27+x$ 
D)  $x-\$ 27$

Question 13

Solve the problem.
-Company A showed a profit of $\$ 67,310$ last year, while Company B had a loss of $\$ 73,800$. Find the difference between these amounts.

Accepted Answer

A)  $-\$ 6490$ 
B)  $-\$ 141,110$ 
C)  $\$ 6490$ 
D)  $\$ 141,110$ 
A)  $-\$ 6490$ 
B)  $-\$ 141,110$ 
C)  $\$ 6490$ 
D)  $\$ 141,110$

Question 14

Add. Do not use a number line except as a check.
-$2.8+(-6.1)$

Accepted Answer

A)  8.9 
B)  -8.9 
C)  -3.3 
D)  3.3 
A)  8.9 
B)  -8.9 
C)  -3.3 
D)  3.3

Question 15

Write an inequality with the same meaning
-$33 \geq 18$

Accepted Answer

A)  $18 \geq 33$ 
B)  $33 \leq 18$ 
C)  $18 \leq 33$ 
D)  $33>18$ 
A)  $18 \geq 33$ 
B)  $33 \leq 18$ 
C)  $18 \leq 33$ 
D)  $33>18$

Question 16

Evaluate $-(-x)$ for the given value of $x$.
-$x=\frac{1}{2}$

Accepted Answer

A)  $\frac{1}{2}$ 
B)  0 
C)  $-\frac{1}{2}$ 
D)  2 
A)  $\frac{1}{2}$ 
B)  0 
C)  $-\frac{1}{2}$ 
D)  2

Question 17

List the terms of the expression.
-$-1+2 \mathrm{a}-8 \mathrm{~b}-4 \mathrm{ab}$

Accepted Answer

A)  $-1,2 a,-8 b,-4 a b$ 
B)  $-1,-2 a,-8 b,-4 a b$ 
C)  $-1,2 a,-8 b,-4$, ab 
D)  $-1,2 a, 8 b, 4 a b$ 
A)  $-1,2 a,-8 b,-4 a b$ 
B)  $-1,-2 a,-8 b,-4 a b$ 
C)  $-1,2 a,-8 b,-4$, ab 
D)  $-1,2 a, 8 b, 4 a b$

Question 18

Remove parentheses and simplify.
-$(8 x-7 y+5)-2(-8 x+7 y-5)$

Accepted Answer

A)  $-24 x+21 y-15$ 
B)  $24 x-21 y+15$ 
C)  $-16 x+14 y-10$ 
D)  $16 x-14 y+10$ 
A)  $-24 x+21 y-15$ 
B)  $24 x-21 y+15$ 
C)  $-16 x+14 y-10$ 
D)  $16 x-14 y+10$

Question 19

Add. Do not use a number line except as a check.
-$-48+7.7+(-12.7)+(-29)+58$

Accepted Answer

A)  -24 
B)  18.6 
C)  -14 
D)  -39.4 
A)  -24 
B)  18.6 
C)  -14 
D)  -39.4

Question 20

Add. Do not use a number line except as a check.
-$-\frac{3}{14}+\frac{19}{21}$

Accepted Answer

A)  $\frac{29}{21}$ 
B)  $\frac{17}{14}$ 
C)  $\frac{29}{42}$ 
D)  $\frac{16}{21}$ 
A)  $\frac{29}{21}$ 
B)  $\frac{17}{14}$ 
C)  $\frac{29}{42}$ 
D)  $\frac{16}{21}$

Evaluate the expression for the given value of $x$ . - $3 x^{3}, x=1$

Find the reciprocal, if it exists. - $-\frac{6}{7}$

Collect like terms. - $-9-4 m+12 n+8 m+12 n-3$

Translate to an algebraic expression. -Robbie drove his car at $50 \mathrm{mph}$ for thours. How many miles did he travel?

Add. Do not use a number line except as a check. - $-5.2+(-1.2)+10.8$

Provide an appropriate response. -Choose the expression that is equivalent to the following: $3(2 a)+3(7 b)$

Evaluate $-(-x)$ for the given value of $x$ . - $x=-32.90$

Solve the problem. -If a roll of wallpaper costs $\$ 25$ , how much will 8 rolls cost?

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -(z7)8 as $56 \mathrm{z}$

Collect like terms. - $-9 z-(-7 z)$

Write an inequality with the same meaning - $20<44$

Translate to an algebraic expression. -Leanne had $\$ 27$ remaining after paying $x$ dollars for a dinner and a movie. How much did she have at the start of the evening?

Solve the problem. -Company A showed a profit of $\$ 67,310$ last year, while Company B had a loss of $\$ 73,800$ . Find the difference between these amounts.

Add. Do not use a number line except as a check. - $2.8+(-6.1)$

Write an inequality with the same meaning - $33 \geq 18$

Evaluate $-(-x)$ for the given value of $x$ . - $x=\frac{1}{2}$

List the terms of the expression. - $-1+2 \mathrm{a}-8 \mathrm{~b}-4 \mathrm{ab}$

Remove parentheses and simplify. - $(8 x-7 y+5)-2(-8 x+7 y-5)$

Add. Do not use a number line except as a check. - $-48+7.7+(-12.7)+(-29)+58$

Add. Do not use a number line except as a check. - $-\frac{3}{14}+\frac{19}{21}$

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

Evaluate the expression for the given value of xxx . - 3x3,x=13 x^{3}, x=13x3,x=1

Find the reciprocal, if it exists. - −67-\frac{6}{7}−76​

Collect like terms. - −9−4m+12n+8m+12n−3-9-4 m+12 n+8 m+12 n-3−9−4m+12n+8m+12n−3

Translate to an algebraic expression. -Robbie drove his car at 50mph50 \mathrm{mph}50mph for thours. How many miles did he travel?

Add. Do not use a number line except as a check. - −5.2+(−1.2)+10.8-5.2+(-1.2)+10.8−5.2+(−1.2)+10.8

Provide an appropriate response. -Choose the expression that is equivalent to the following: 3(2a)+3(7b)3(2 a)+3(7 b)3(2a)+3(7b)

Evaluate −(−x)-(-x)−(−x) for the given value of xxx . - x=−32.90x=-32.90x=−32.90

Solve the problem. -If a roll of wallpaper costs $25\$ 25$25 , how much will 8 rolls cost?

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -(z7)8 as 56z56 \mathrm{z}56z

Collect like terms. - −9z−(−7z)-9 z-(-7 z)−9z−(−7z)

Write an inequality with the same meaning - 20<4420<4420<44

Translate to an algebraic expression. -Leanne had $27\$ 27$27 remaining after paying xxx dollars for a dinner and a movie. How much did she have at the start of the evening?

Solve the problem. -Company A showed a profit of $67,310\$ 67,310$67,310 last year, while Company B had a loss of $73,800\$ 73,800$73,800 . Find the difference between these amounts.

Add. Do not use a number line except as a check. - 2.8+(−6.1)2.8+(-6.1)2.8+(−6.1)

Write an inequality with the same meaning - 33≥1833 \geq 1833≥18

Evaluate −(−x)-(-x)−(−x) for the given value of xxx . - x=12x=\frac{1}{2}x=21​

List the terms of the expression. - −1+2a−8 b−4ab-1+2 \mathrm{a}-8 \mathrm{~b}-4 \mathrm{ab}−1+2a−8 b−4ab

Remove parentheses and simplify. - (8x−7y+5)−2(−8x+7y−5)(8 x-7 y+5)-2(-8 x+7 y-5)(8x−7y+5)−2(−8x+7y−5)

Add. Do not use a number line except as a check. - −48+7.7+(−12.7)+(−29)+58-48+7.7+(-12.7)+(-29)+58−48+7.7+(−12.7)+(−29)+58

Add. Do not use a number line except as a check. - −314+1921-\frac{3}{14}+\frac{19}{21}−143​+2119​