Question 1

Factor. Check by multiplying.
-$12+12 z$

Accepted Answer

A)  $12(1+z)$ 
B)  $12(12+\mathrm{z})$ 
C)  $12(0+z)$ 
D)  $12(1+12 z)$ 
A)  $12(1+z)$ 
B)  $12(12+\mathrm{z})$ 
C)  $12(0+z)$ 
D)  $12(1+12 z)$

Question 2

Convert to fractional notation.
-$0.571 \%$

Accepted Answer

A)  $\frac{2}{175}$ 
B)  $\frac{1}{350}$ 
C)  $\frac{2}{35}$ 
D)  $\frac{1}{175}$ 
A)  $\frac{2}{175}$ 
B)  $\frac{1}{350}$ 
C)  $\frac{2}{35}$ 
D)  $\frac{1}{175}$

Question 3

Collect like terms.
-$\frac{1}{2} y-y+4 y$

Accepted Answer

A)  $\frac{9}{2} \mathrm{y}$ 
B)  $\frac{7}{2} y$ 
C)  $-\frac{9}{2} \mathrm{y}$ 
D)  $-\frac{7}{2} y$ 
A)  $\frac{9}{2} \mathrm{y}$ 
B)  $\frac{7}{2} y$ 
C)  $-\frac{9}{2} \mathrm{y}$ 
D)  $-\frac{7}{2} y$

Question 4

Solve the problem.
-A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by 568 feet, 411 feet, 469 feet, - 61 feet, and 518 feet. At what elevation does the race end?

Accepted Answer

A)  2775 feet 
B)  348 feet 
C)  2897 feet 
D)  -2897 feet 
A)  2775 feet 
B)  348 feet 
C)  2897 feet 
D)  -2897 feet

Question 5

Evaluate.
-$13^{2}$

Accepted Answer

A)  26 
B)  338 
C)  15 
D)  169 
A)  26 
B)  338 
C)  15 
D)  169

Question 6

Add.
-$4.23+0.82+24.52$

Accepted Answer

A)  29.67 
B)  29.57 
C)  28.57 
D)  28.67 
A)  29.67 
B)  29.57 
C)  28.57 
D)  28.67

Question 7

Solve the problem.
-At a national computer show, two software companies continuously run videos showing their products. Company A's video repeats every 33 minutes, while Company B's video repeats every 15 minutes. If both companies begin the videos at 1:00 P.M. when the show opens, how many minutes will elapse before they are in sync again?

Accepted Answer

A)  55 minutes 
B)  110 minutes 
C)  330 minutes 
D)  165 minutes 
A)  55 minutes 
B)  110 minutes 
C)  330 minutes 
D)  165 minutes

Question 8

Evaluate.
-$x+y$, when $x=7$ and $y=6$

Accepted Answer

A)  -13 
B)  13 
C)  42 
D)  1 
A)  -13 
B)  13 
C)  42 
D)  1

Question 9

Rewrite the division as a multiplication.
-$\frac{6.2}{-3}$

Accepted Answer

A)  $6.2 \cdot 3$ 
B)  $-6.2 \cdot 3$ 
C)  $6.2\left(\frac{1}{3}\right)$ 
D)  $6.2 \cdot\left(-\frac{1}{3}\right)$ 
A)  $6.2 \cdot 3$ 
B)  $-6.2 \cdot 3$ 
C)  $6.2\left(\frac{1}{3}\right)$ 
D)  $6.2 \cdot\left(-\frac{1}{3}\right)$

Question 10

Simplify.
-$\frac{76}{840}$

Accepted Answer

A)  $\frac{839}{75}$ 
B)  $\frac{77}{841}$ 
C)  $\frac{19}{210}$ 
D)  $\frac{210}{19}$ 
A)  $\frac{839}{75}$ 
B)  $\frac{77}{841}$ 
C)  $\frac{19}{210}$ 
D)  $\frac{210}{19}$

Question 11

Subtract.
-8 - (-17)

Accepted Answer

A)  25 
B)  9 
C)  -25 
D)  -9 
A)  25 
B)  9 
C)  -25 
D)  -9

Question 12

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

Accepted Answer

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

Question 13

Write an inequality with the same meaning.
-$44 \geq 18$

Accepted Answer

A)  $44>18$ 
B)  $18 \leq 44$ 
C)  $44 \leq 18$ 
D)  $18 \geq 44$ 
A)  $44>18$ 
B)  $18 \leq 44$ 
C)  $44 \leq 18$ 
D)  $18 \geq 44$

Question 14

Translate to an algebraic expression.
-Robbie drove his car at $65 \mathrm{mph}$ for $x$ hours. How many miles did he travel?

Accepted Answer

A)  $\frac{65}{x}$ 
B)  $65-\mathrm{x}$ 
C)  $\frac{x}{65}$ 
D)  $65 \mathrm{x}$ 
A)  $\frac{65}{x}$ 
B)  $65-\mathrm{x}$ 
C)  $\frac{x}{65}$ 
D)  $65 \mathrm{x}$

Question 15

Collect like terms.
-$5+12 m-6 n+10 m-8 n-9$

Accepted Answer

A)  $22 m-14 n-4$ 
B)  $-14 m+22 n+4$ 
C)  $6 m+2 n-4$ 
D)  $17 m+4 n-17$ 
A)  $22 m-14 n-4$ 
B)  $-14 m+22 n+4$ 
C)  $6 m+2 n-4$ 
D)  $17 m+4 n-17$

Question 16

Translate the phrase to an algebraic expression.
-Eight times $x$

Accepted Answer

A)  $8-x$ 
B)  $\frac{8}{x}$ 
C)  $8+x$ 
D)  $8 \mathrm{x}$ 
A)  $8-x$ 
B)  $\frac{8}{x}$ 
C)  $8+x$ 
D)  $8 \mathrm{x}$

Question 17

Rewrite the division as a multiplication.
-$\frac{2 x+3}{7}$

Accepted Answer

A)  $(2 x+3)(-7)$ 
B)  $(2 x+3)\left(-\frac{1}{7}\right)$ 
C)  $(2 x+3)\left(\frac{1}{7}\right)$ 
D)  7$\left(\frac{1}{2 x+3}\right)$ 
A)  $(2 x+3)(-7)$ 
B)  $(2 x+3)\left(-\frac{1}{7}\right)$ 
C)  $(2 x+3)\left(\frac{1}{7}\right)$ 
D)  7$\left(\frac{1}{2 x+3}\right)$

Question 18

Solve the problem.
-After one round in a card game, your score was -23 points. After the second round, your score was 15 points. How many points did you gain in the second game?

Accepted Answer

A)  15 points 
B)  -8 points 
C)  38 points 
D)  8 points 
A)  15 points 
B)  -8 points 
C)  38 points 
D)  8 points

Question 19

Write an equivalent expression. Use an associative law.
-$5+(\mathrm{s}+\mathrm{t})$

Accepted Answer

A)  $(5+\mathrm{s})+\mathrm{t}$ 
B)  $5(\mathrm{~s}+\mathrm{t})$ 
C)  $(\mathrm{s}+\mathrm{t})+5$ 
D)  $5+(\mathrm{t}+\mathrm{s})$ 
A)  $(5+\mathrm{s})+\mathrm{t}$ 
B)  $5(\mathrm{~s}+\mathrm{t})$ 
C)  $(\mathrm{s}+\mathrm{t})+5$ 
D)  $5+(\mathrm{t}+\mathrm{s})$

Question 20

Round to the requested decimal place.
-8.58 (nearest tenth)

Accepted Answer

A)  8.7 
B)  8.5 
C)  8.6 
A)  8.7 
B)  8.5 
C)  8.6

Factor. Check by multiplying. - $12+12 z$

Convert to fractional notation. - $0.571 \%$

Collect like terms. - $\frac{1}{2} y-y+4 y$

Solve the problem. -A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by 568 feet, 411 feet, 469 feet, - 61 feet, and 518 feet. At what elevation does the race end?

Evaluate. - $13^{2}$

Add. - $4.23+0.82+24.52$

Evaluate. - $x+y$ , when $x=7$ and $y=6$

Rewrite the division as a multiplication. - $\frac{6.2}{-3}$

Simplify. - $\frac{76}{840}$

Subtract. -8 - (-17)

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

Write an inequality with the same meaning. - $44 \geq 18$

Translate to an algebraic expression. -Robbie drove his car at $65 \mathrm{mph}$ for $x$ hours. How many miles did he travel?

Collect like terms. - $5+12 m-6 n+10 m-8 n-9$

Translate the phrase to an algebraic expression. -Eight times $x$

Rewrite the division as a multiplication. - $\frac{2 x+3}{7}$

Solve the problem. -After one round in a card game, your score was -23 points. After the second round, your score was 15 points. How many points did you gain in the second game?

Write an equivalent expression. Use an associative law. - $5+(\mathrm{s}+\mathrm{t})$

Round to the requested decimal place. -8.58 (nearest tenth)

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

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 1: Introduction to Real Numbers and Algebraic Expressions

Factor. Check by multiplying. - 12+12z12+12 z12+12z

Convert to fractional notation. - 0.571%0.571 \%0.571%

Collect like terms. - 12y−y+4y\frac{1}{2} y-y+4 y21​y−y+4y