Question 1

Graph the inequality on a number line.
-$\{x \mid x<0\}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 2

The number zero has no additive inverse.

Accepted Answer

A) True 
 B)False

Question 3

Multiply as indicated. Write the answer as a fraction in lowest terms.
-$\frac{5}{7} \cdot \frac{1}{2}$

Accepted Answer

A)  $\frac{3}{7}$ 
B)  $\frac{5}{14}$ 
C)  $\frac{7}{10}$ 
D)  $\frac{2}{3}$ 
A)  $\frac{3}{7}$ 
B)  $\frac{5}{14}$ 
C)  $\frac{7}{10}$ 
D)  $\frac{2}{3}$

Question 4

Add as indicated. Write the answer as a fraction in lowest terms.
-$\frac{5}{48}+\frac{1}{18}$

Accepted Answer

A)  $\frac{1}{324}$ 
B)  $\frac{69}{17}$ 
C)  $\frac{4}{51}$ 
D)  $\frac{23}{144}$ 
A)  $\frac{1}{324}$ 
B)  $\frac{69}{17}$ 
C)  $\frac{4}{51}$ 
D)  $\frac{23}{144}$

Question 5

Determine whether the inequality is 
-$-5 \leq 9+7$

Accepted Answer

A) True 
 B)False

Question 6

Write the expression by using exponents.
-$x \cdot x \cdot x \cdot x$

Accepted Answer

A)  $4(x)$ 
B)  $x^{4}$ 
C)  4 
D)  $4^{x}$ 
A)  $4(x)$ 
B)  $x^{4}$ 
C)  4 
D)  $4^{x}$

Question 7

Perform the indicated operation.
-$6.671+(-3.935)$

Accepted Answer

A)  26.250 
B)  2.736 
C)  -10.606 
D)  -10.506 
A)  26.250 
B)  2.736 
C)  -10.606 
D)  -10.506

Question 8

The graphs show the sales of two companies competing for market share.
  
-If $x$ represents Company B's sales in 2007 and $y$ represents Company A's sales in the same year, then the relationship between $x$ and $y$ is

Accepted Answer

A)  $x>y$ 
B)  $x=y$ 
C)  $x\lt y$ 
A)  $x>y$ 
B)  $x=y$ 
C)  $x\lt y$

Question 9

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
-$16.004-7.352$

Accepted Answer

A)  -8.652 
B)  23.356 
C)  8.752 
D)  8.652 
A)  -8.652 
B)  23.356 
C)  8.752 
D)  8.652

Question 10

For the expression $\sqrt{\mathrm{a}}$, under what conditions will its value be positive?

Accepted Answer

A)  a must be positive 
B)  a must be real 
C)  a must be 0 
D)  a must be negative 
A)  a must be positive 
B)  a must be real 
C)  a must be 0 
D)  a must be negative

Question 11

Change the fraction to a decimal. Round as indicated.
-$1 \frac{11}{38}$ one decimal place

Accepted Answer

A)  6.5 
B)  1.3 
C)  0.7 
D)  0.3 
A)  6.5 
B)  1.3 
C)  0.7 
D)  0.3

Question 12

Perform the indicated operation.
-$0.01+(-4.917)$

Accepted Answer

A)  0.049 
B)  -4.827 
C)  -4.927 
D)  -4.907 
A)  0.049 
B)  -4.827 
C)  -4.927 
D)  -4.907

Question 13

Write as a decimal.
-$7 \frac{4}{7} \%$

Accepted Answer

A)  0.0757 
B)  7.5714 
C)  0.7571 
D)  7.0057 
A)  0.0757 
B)  7.5714 
C)  0.7571 
D)  7.0057

Question 14

Graph the inequality on a number line.
-$\{x \mid-1 \leq x<2\}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 15

$-6^{8}=(-6)^{8}$

Accepted Answer

A) True 
 B)False

Question 16

Use inequality symbols to rewrite the statement.
-$6 x-5$ is less than or equal to 3 .

Accepted Answer

A)  $6 x-5 \geq 3$ 
B)  $6 x-53$ 
D)  $6 x-5 \leq 3$ 
A)  $6 x-5 \geq 3$ 
B)  $6 x-53$ 
D)  $6 x-5 \leq 3$

Question 17

Using the chart above, (I) how many cups of milk would be needed for 4 microwave servings? (II) How many tablespoons of butter would be needed for 5 stove top servings?

Accepted Answer

A)  5 cups; $\frac{3}{8} \mathrm{Tbsp}$ 
B)  2 cups; $\frac{1}{8} \mathrm{Tbsp}$ 
C)  $4 \frac{2}{3}$ cups; $\frac{5}{8} \mathrm{Tbsp}$ 
D)  $1 \frac{7}{12}$ cups; $\frac{3}{4} \mathrm{Tbsp}$ 
A)  5 cups; $\frac{3}{8} \mathrm{Tbsp}$ 
B)  2 cups; $\frac{1}{8} \mathrm{Tbsp}$ 
C)  $4 \frac{2}{3}$ cups; $\frac{5}{8} \mathrm{Tbsp}$ 
D)  $1 \frac{7}{12}$ cups; $\frac{3}{4} \mathrm{Tbsp}$

Question 18

Simplify the expression.
-$-5(2 t-5)-4(3 t+3)+4 t$

Accepted Answer

A)  $-18 t-16$ 
B)  $-18 t+13$ 
C)  $-81 t+13$ 
D)  $-81 \mathrm{t}-2$ 
A)  $-18 t-16$ 
B)  $-18 t+13$ 
C)  $-81 t+13$ 
D)  $-81 \mathrm{t}-2$

Question 19

Evaluate the expression.
-$(-2)^{3}$

Accepted Answer

A)  -6 
B)  6 
C)  8 
D)  -8 
A)  -6 
B)  6 
C)  8 
D)  -8

Question 20

Perform the indicated operation.
-$-3.95+(-5.88)$

Accepted Answer

A)  -1.93 
B)  9.83 
C)  23.226 
D)  -9.83 
A)  -1.93 
B)  9.83 
C)  23.226 
D)  -9.83

Graph the inequality on a number line. - $\{x \mid x<0\}$ $Graph the inequality on a number line. - \{x \mid x<0\}$

The number zero has no additive inverse.

Multiply as indicated. Write the answer as a fraction in lowest terms. - $\frac{5}{7} \cdot \frac{1}{2}$

Add as indicated. Write the answer as a fraction in lowest terms. - $\frac{5}{48}+\frac{1}{18}$

Determine whether the inequality is - $-5 \leq 9+7$

Write the expression by using exponents. - $x \cdot x \cdot x \cdot x$

Perform the indicated operation. - $6.671+(-3.935)$

The graphs show the sales of two companies competing for market share. -If $x$ represents Company B's sales in 2007 and $y$ represents Company A's sales in the same year, then the relationship between $x$ and $y$ is

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $16.004-7.352$

For the expression $\sqrt{\mathrm{a}}$ , under what conditions will its value be positive?

Change the fraction to a decimal. Round as indicated. - $1 \frac{11}{38}$ one decimal place

Perform the indicated operation. - $0.01+(-4.917)$

Write as a decimal. - $7 \frac{4}{7} \%$

Graph the inequality on a number line. - $\{x \mid-1 \leq x<2\}$ $Graph the inequality on a number line. - \{x \mid-1 \leq x<2\}$

$-6^{8}=(-6)^{8}$

Use inequality symbols to rewrite the statement. - $6 x-5$ is less than or equal to 3 .

Using the chart above, (I) how many cups of milk would be needed for 4 microwave servings? (II) How many tablespoons of butter would be needed for 5 stove top servings?

Simplify the expression. - $-5(2 t-5)-4(3 t+3)+4 t$

Evaluate the expression. - $(-2)^{3}$

Perform the indicated operation. - $-3.95+(-5.88)$

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 1: Review of the Real Number System

Graph the inequality on a number line. - {x∣x<0}\{x \mid x<0\}{x∣x<0}

The number zero has no additive inverse.

Multiply as indicated. Write the answer as a fraction in lowest terms. - 57⋅12\frac{5}{7} \cdot \frac{1}{2}75​⋅21​

Add as indicated. Write the answer as a fraction in lowest terms. - 548+118\frac{5}{48}+\frac{1}{18}485​+181​

Determine whether the inequality is - −5≤9+7-5 \leq 9+7−5≤9+7

Write the expression by using exponents. - x⋅x⋅x⋅xx \cdot x \cdot x \cdot xx⋅x⋅x⋅x

Perform the indicated operation. - 6.671+(−3.935)6.671+(-3.935)6.671+(−3.935)

The graphs show the sales of two companies competing for market share. -If xxx represents Company B's sales in 2007 and yyy represents Company A's sales in the same year, then the relationship between xxx and yyy is

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 16.004−7.35216.004-7.35216.004−7.352

For the expression a\sqrt{\mathrm{a}}a​ , under what conditions will its value be positive?

Change the fraction to a decimal. Round as indicated. - 111381 \frac{11}{38}13811​ one decimal place

Perform the indicated operation. - 0.01+(−4.917)0.01+(-4.917)0.01+(−4.917)

Write as a decimal. - 747%7 \frac{4}{7} \%774​%

Graph the inequality on a number line. - {x∣−1≤x<2}\{x \mid-1 \leq x<2\}{x∣−1≤x<2}

−68=(−6)8-6^{8}=(-6)^{8}−68=(−6)8

Use inequality symbols to rewrite the statement. - 6x−56 x-56x−5 is less than or equal to 3 .

Using the chart above, (I) how many cups of milk would be needed for 4 microwave servings? (II) How many tablespoons of butter would be needed for 5 stove top servings?

Simplify the expression. - −5(2t−5)−4(3t+3)+4t-5(2 t-5)-4(3 t+3)+4 t−5(2t−5)−4(3t+3)+4t

Evaluate the expression. - (−2)3(-2)^{3}(−2)3

Perform the indicated operation. - −3.95+(−5.88)-3.95+(-5.88)−3.95+(−5.88)

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Graph the inequality on a number line. - $\{x \mid x<0\}$ $Graph the inequality on a number line. - \{x \mid x<0\}$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $\frac{5}{7} \cdot \frac{1}{2}$

Add as indicated. Write the answer as a fraction in lowest terms. - $\frac{5}{48}+\frac{1}{18}$

Determine whether the inequality is - $-5 \leq 9+7$

Write the expression by using exponents. - $x \cdot x \cdot x \cdot x$

Perform the indicated operation. - $6.671+(-3.935)$

The graphs show the sales of two companies competing for market share. -If $x$ represents Company B's sales in 2007 and $y$ represents Company A's sales in the same year, then the relationship between $x$ and $y$ is

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $16.004-7.352$

For the expression $\sqrt{\mathrm{a}}$ , under what conditions will its value be positive?

Change the fraction to a decimal. Round as indicated. - $1 \frac{11}{38}$ one decimal place

Perform the indicated operation. - $0.01+(-4.917)$

Write as a decimal. - $7 \frac{4}{7} \%$

Graph the inequality on a number line. - $\{x \mid-1 \leq x<2\}$ $Graph the inequality on a number line. - \{x \mid-1 \leq x<2\}$

$-6^{8}=(-6)^{8}$

Use inequality symbols to rewrite the statement. - $6 x-5$ is less than or equal to 3 .

Simplify the expression. - $-5(2 t-5)-4(3 t+3)+4 t$

Evaluate the expression. - $(-2)^{3}$

Perform the indicated operation. - $-3.95+(-5.88)$