Question 1

Use the rule for order of operations to simplify the expression as much as possible. $(9+3)(9-3)$

Accepted Answer

A)  $27$ 
B)  $90$ 
C)  $105$ 
D)  $72$ 
E)  $33$ 
A)  $27$ 
B)  $90$ 
C)  $105$ 
D)  $72$ 
E)  $33$

Question 2

Simplify the expression. $-4(3-7)-8(1-6)$

Accepted Answer

A)  $24$ 
B)  $33$ 
C)  $-56$ 
D)  $-33$ 
E)  $56$ 
A)  $24$ 
B)  $33$ 
C)  $-56$ 
D)  $-33$ 
E)  $56$

Question 3

Perform the indicated operations. Simplify as much as possible. $\frac{12(-5)-20}{2(-10)}$ Do not convert fractions to decimal form.

Accepted Answer

The answer of Perform the indicated operations. Simplify as much...

Question 4

Use the associative property to rewrite the expression, and then simplify the result.

Accepted Answer

The answer of Use the associative property to rewrite the...

Question 5

Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common.

Accepted Answer

The answer of Reduce the fraction to lowest terms by...

Question 6

Apply the distributive property. Simplify when possible. $7(x+y)$

Accepted Answer

A)  $7+x+y$ 
B)  $7 x+7 y$ 
C)  $7 xy$ 
D)  $7 x+y$ 
E)  $\frac{1}{7} x+\frac{1}{7} y$ 
A)  $7+x+y$ 
B)  $7 x+7 y$ 
C)  $7 xy$ 
D)  $7 x+y$ 
E)  $\frac{1}{7} x+\frac{1}{7} y$

Question 7

Use the rule for order of operations to simplify the expression as much as possible. $8+4(2 \cdot 5-3)+4$

Accepted Answer

A)  $28$ 
B)  $40$ 
C)  $121$ 
D)  $36$ 
E)  $49$ 
A)  $28$ 
B)  $40$ 
C)  $121$ 
D)  $36$ 
E)  $49$

Question 8

State the property or properties that justify the following statement. $5\left(\frac{1}{5}\right)=1$

Accepted Answer

A)  Distributive property. 
B)  Additive identity. 
C)  Multiplicative identity. 
D)  Multiplicative inverse. 
E)  Additive inverse. 
A)  Distributive property. 
B)  Additive identity. 
C)  Multiplicative identity. 
D)  Multiplicative inverse. 
E)  Additive inverse.

Question 9

Perform the indicated operations. Simplify as much as possible. $\frac{17(-6)-66}{2(-12)}$

Accepted Answer

A)  $7$ 
B)  $3$. 
C)  $14$ 
D)  $-14$ 
E)  $3$ 
A)  $7$ 
B)  $3$. 
C)  $14$ 
D)  $-14$ 
E)  $3$

Question 10

Work the following problem using the rule for addition of real numbers. $[5+(-4)]+[6+(-1)]$

Accepted Answer

A)  $-6$. 
B)  $6$ 
C)  $4$ 
D)  $-6$ 
E)  $-4$ 
A)  $-6$. 
B)  $6$ 
C)  $4$ 
D)  $-6$ 
E)  $-4$

Question 11

Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common.

Accepted Answer

The answer of Reduce the fraction to lowest terms by...

Question 12

Work the following problem using the rule for addition of real numbers. $8+(-5)$

Accepted Answer

The answer of Work the following problem using the rule...

Question 13

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 
 
 5, 0, -5, __________, __________ . . .

Accepted Answer

The answer of The sequence below is an arithmetic sequence....

Question 14

Given the numbers in the set   List all the whole numbers.

Accepted Answer

The answer of Given the numbers in the set ...

Question 15

Use the rule for order of operations to simplify the expression as much as possible. $7(-2)^{3}-6(-2)^{4}$

Accepted Answer

The answer of Use the rule for order of operations...

Question 16

Perform the indicated operations. Simplify as much as possible. $\frac{|7-9|}{7-9}$

Accepted Answer

A)  $-2$ 
B)  $-1$ 
C)  $1$ 
D)  $0$ 
E)  $2$ 
A)  $-2$ 
B)  $-1$ 
C)  $1$ 
D)  $0$ 
E)  $2$

Question 17

Use the associative property to rewrite the expression, and then simplify the result. $8(5 y)$

Accepted Answer

A)  $40 y$ 
B)  $-40 y$ 
C)  $13 y$ 
D)  $85$ 
E)  $85 y$ 
A)  $40 y$ 
B)  $-40 y$ 
C)  $13 y$ 
D)  $85$ 
E)  $85 y$

Question 18

Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this by writing prime . 
 
 1,365

Accepted Answer

The answer of Factor the following number into the product...

Question 19

Find the fourth term in the sequence.

Accepted Answer

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

Question 20

Divide and reduce the answer to lowest terms. $\frac{5}{6} \div \frac{4}{5}$

Accepted Answer

The answer of Divide and reduce the answer to lowest...

Use the rule for order of operations to simplify the expression as much as possible. $(9+3)(9-3)$

Simplify the expression. $-4(3-7)-8(1-6)$

Perform the indicated operations. Simplify as much as possible. $\frac{12(-5)-20}{2(-10)}$ Do not convert fractions to decimal form.

Use the associative property to rewrite the expression, and then simplify the result.

Apply the distributive property. Simplify when possible. $7(x+y)$

Use the rule for order of operations to simplify the expression as much as possible. $8+4(2 \cdot 5-3)+4$

State the property or properties that justify the following statement. $5\left(\frac{1}{5}\right)=1$

Perform the indicated operations. Simplify as much as possible. $\frac{17(-6)-66}{2(-12)}$

Work the following problem using the rule for addition of real numbers. $[5+(-4)]+[6+(-1)]$

Work the following problem using the rule for addition of real numbers. $8+(-5)$

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 5, 0, -5, , . . .

Given the numbers in the set List all the whole numbers.

Use the rule for order of operations to simplify the expression as much as possible. $7(-2)^{3}-6(-2)^{4}$

Perform the indicated operations. Simplify as much as possible. $\frac{|7-9|}{7-9}$

Use the associative property to rewrite the expression, and then simplify the result. $8(5 y)$

Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this by writing prime . 1,365

Find the fourth term in the sequence.

Divide and reduce the answer to lowest terms. $\frac{5}{6} \div \frac{4}{5}$

Linear Equations and Inequalities

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Exam 1: The Basics

Use the rule for order of operations to simplify the expression as much as possible. (9+3)(9−3)(9+3)(9-3)(9+3)(9−3)

Simplify the expression. −4(3−7)−8(1−6)-4(3-7)-8(1-6)−4(3−7)−8(1−6)

Perform the indicated operations. Simplify as much as possible. 12(−5)−202(−10)\frac{12(-5)-20}{2(-10)}2(−10)12(−5)−20​ Do not convert fractions to decimal form.

Use the associative property to rewrite the expression, and then simplify the result.

Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common.

Apply the distributive property. Simplify when possible. 7(x+y)7(x+y)7(x+y)

Use the rule for order of operations to simplify the expression as much as possible. 8+4(2⋅5−3)+48+4(2 \cdot 5-3)+48+4(2⋅5−3)+4

State the property or properties that justify the following statement. 5(15)=15\left(\frac{1}{5}\right)=15(51​)=1

Perform the indicated operations. Simplify as much as possible. 17(−6)−662(−12)\frac{17(-6)-66}{2(-12)}2(−12)17(−6)−66​

Work the following problem using the rule for addition of real numbers. [5+(−4)]+[6+(−1)][5+(-4)]+[6+(-1)][5+(−4)]+[6+(−1)]

Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common.

Work the following problem using the rule for addition of real numbers. 8+(−5)8+(-5)8+(−5)

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 5, 0, -5, __________, __________ . . .

Given the numbers in the set List all the whole numbers.

Use the rule for order of operations to simplify the expression as much as possible. 7(−2)3−6(−2)47(-2)^{3}-6(-2)^{4}7(−2)3−6(−2)4

Perform the indicated operations. Simplify as much as possible. ∣7−9∣7−9\frac{|7-9|}{7-9}7−9∣7−9∣​

Use the associative property to rewrite the expression, and then simplify the result. 8(5y)8(5 y)8(5y)

Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this by writing prime . 1,365

Find the fourth term in the sequence.

Divide and reduce the answer to lowest terms. 56÷45\frac{5}{6} \div \frac{4}{5}65​÷54​

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions

Roots and Radicals

Quadratic Equations

Filters

Use the rule for order of operations to simplify the expression as much as possible. $(9+3)(9-3)$

Simplify the expression. $-4(3-7)-8(1-6)$

Perform the indicated operations. Simplify as much as possible. $\frac{12(-5)-20}{2(-10)}$ Do not convert fractions to decimal form.

Apply the distributive property. Simplify when possible. $7(x+y)$

Use the rule for order of operations to simplify the expression as much as possible. $8+4(2 \cdot 5-3)+4$

State the property or properties that justify the following statement. $5\left(\frac{1}{5}\right)=1$

Perform the indicated operations. Simplify as much as possible. $\frac{17(-6)-66}{2(-12)}$

Work the following problem using the rule for addition of real numbers. $[5+(-4)]+[6+(-1)]$

Work the following problem using the rule for addition of real numbers. $8+(-5)$

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 5, 0, -5, , . . .

Use the rule for order of operations to simplify the expression as much as possible. $7(-2)^{3}-6(-2)^{4}$

Perform the indicated operations. Simplify as much as possible. $\frac{|7-9|}{7-9}$

Use the associative property to rewrite the expression, and then simplify the result. $8(5 y)$

Divide and reduce the answer to lowest terms. $\frac{5}{6} \div \frac{4}{5}$