Question 1

Find the next number in the sequence.
2, 2, 4, 6, 10, . . . (A Fibonacci-like sequence.)

Accepted Answer

A)  22 
B)  15 
C)  12 
D)  53 
E)  none of these 
A)  22 
B)  15 
C)  12 
D)  53 
E)  none of these

Question 2

Use the associative property to rewrite the expression, and then simplify the result. $\frac{1}{3}(3 y)$

Accepted Answer

A)  $\frac{1}{9} y$ 
B)  $\frac{1}{6} y$ 
C)  1 
D)  $y$ 
E)  $9 y$ 
A)  $\frac{1}{9} y$ 
B)  $\frac{1}{6} y$ 
C)  1 
D)  $y$ 
E)  $9 y$

Question 3

Write the following fraction as an equivalent fraction with denominator 95. $\frac{8}{19}$

Accepted Answer

The answer of Write the following fraction as an equivalent...

Question 4

Use the rule for order of operations to simplify the expression as much as possible. $2 \cdot 6+3 \cdot 2$

Accepted Answer

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

Question 5

Simplify the expression. $(3-7)(5-6)$

Accepted Answer

A)  $4$ 
B)  $26$ 
C)  $-4$ 
D)  $-38$ 
E)  $-26$ 
A)  $4$ 
B)  $26$ 
C)  $-4$ 
D)  $-38$ 
E)  $-26$

Question 6

Use the rule for order of operations to simplify the expression as much as possible. $5+8 \div 4+4$

Accepted Answer

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

Question 7

Reduce the fraction to lowest terms.

Accepted Answer

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

Question 8

Simplify. $-10+4(-5+9)+(-1)$

Accepted Answer

A)  $-25$ 
B)  $22$ 
C)  $-5$ 
D)  $5$ 
E)  $-22$ 
A)  $-25$ 
B)  $22$ 
C)  $-5$ 
D)  $5$ 
E)  $-22$

Question 9

Use the rule for order of operations to simplify the expression as much as possible. $15-3(5 \cdot 3-12)$

Accepted Answer

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

Question 10

Fibonacci sequence = 1, 1, 2, 3, 5, 8, . . . 
 
 Any number in the Fibonacci sequence is a Fibonacci number . 
 
 Name the Fibonacci numbers that are composite numbers and less than 30.

Accepted Answer

The answer of Fibonacci sequence = 1, 1, 2, 3,...

Question 11

Use the rule for order of operations to simplify the expression as much as possible. $8+8 \div 2+6$

Accepted Answer

A)  $14$ 
B)  $18$ 
C)  $24$ 
D)  $22$ 
E)  $2$ 
A)  $14$ 
B)  $18$ 
C)  $24$ 
D)  $22$ 
E)  $2$

Question 12

Multiply. $\left(-\frac{8}{9}\right)^{2}$

Accepted Answer

A)  $\frac{8}{81}$ 
B)  $\frac{81}{64}$ 
C)  $-\frac{64}{81}$ 
D)  $\frac{64}{81}$ 
E)  $\frac{8}{9}$ 
A)  $\frac{8}{81}$ 
B)  $\frac{81}{64}$ 
C)  $-\frac{64}{81}$ 
D)  $\frac{64}{81}$ 
E)  $\frac{8}{9}$

Question 13

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

Accepted Answer

A)  $49$ 
B)  $-49$ 
C)  $-7$ 
D)  $25$ 
E)  $-3$ 
A)  $49$ 
B)  $-49$ 
C)  $-7$ 
D)  $25$ 
E)  $-3$

Question 14

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 . 
 
 675

Accepted Answer

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

Question 15

Simplify the expression   , and then factor the result into the product of primes.

Accepted Answer

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

Question 16

Simplify the expression. 
 
 11 - | 5 - 2(5 - 3) |

Accepted Answer

The answer of Simplify the expression. 
 
 11 -...

Question 17

Perform the indicated operations. Simplify as much as possible. $\frac{25^{2}-5^{2}}{25^{2}+5^{2}}$ Do not convert fractions to decimal form.

Accepted Answer

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

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 . 
 
 22

Accepted Answer

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

Question 19

Perform the indicated operations. Simplify as much as possible. $\frac{3(-4)+5(-6)}{10-6}$

Accepted Answer

A)  $-\frac{21}{2}$ 
B)  $-\frac{1}{2}$ 
C)  $-\frac{1}{2}$. 
D)  $\frac{21}{2}$ 
E)  $\frac{1}{2}$ 
A)  $-\frac{21}{2}$ 
B)  $-\frac{1}{2}$ 
C)  $-\frac{1}{2}$. 
D)  $\frac{21}{2}$ 
E)  $\frac{1}{2}$

Question 20

Simplify the expression. $|5-2|$

Accepted Answer

A)  $3$ 
B)  $-7$ 
C)  $-3$ 
D)  $7$ 
E)  $\text { none of these }$ 
A)  $3$ 
B)  $-7$ 
C)  $-3$ 
D)  $7$ 
E)  $\text { none of these }$

Find the next number in the sequence. 2, 2, 4, 6, 10, . . . (A Fibonacci-like sequence.)

Use the associative property to rewrite the expression, and then simplify the result. $\frac{1}{3}(3 y)$

Write the following fraction as an equivalent fraction with denominator 95. $\frac{8}{19}$

Use the rule for order of operations to simplify the expression as much as possible. $2 \cdot 6+3 \cdot 2$

Simplify the expression. $(3-7)(5-6)$

Use the rule for order of operations to simplify the expression as much as possible. $5+8 \div 4+4$

Reduce the fraction to lowest terms. $Reduce the fraction to lowest terms.$

Simplify. $-10+4(-5+9)+(-1)$

Use the rule for order of operations to simplify the expression as much as possible. $15-3(5 \cdot 3-12)$

Fibonacci sequence = 1, 1, 2, 3, 5, 8, . . . Any number in the Fibonacci sequence is a Fibonacci number . Name the Fibonacci numbers that are composite numbers and less than 30.

Use the rule for order of operations to simplify the expression as much as possible. $8+8 \div 2+6$

Multiply. $\left(-\frac{8}{9}\right)^{2}$

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

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 . 675

Simplify the expression , and then factor the result into the product of primes.

Simplify the expression. 11 - | 5 - 2(5 - 3) |

Perform the indicated operations. Simplify as much as possible. $\frac{25^{2}-5^{2}}{25^{2}+5^{2}}$ Do not convert fractions to decimal form.

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 . 22

Perform the indicated operations. Simplify as much as possible. $\frac{3(-4)+5(-6)}{10-6}$

Simplify the expression. $|5-2|$

Linear Equations and Inequalities

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Systems of Linear Equations

Exponents and Polynomials

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Exam 1: The Basics

Find the next number in the sequence. 2, 2, 4, 6, 10, . . . (A Fibonacci-like sequence.)

Use the associative property to rewrite the expression, and then simplify the result. 13(3y)\frac{1}{3}(3 y)31​(3y)

Write the following fraction as an equivalent fraction with denominator 95. 819\frac{8}{19}198​

Use the rule for order of operations to simplify the expression as much as possible. 2⋅6+3⋅22 \cdot 6+3 \cdot 22⋅6+3⋅2

Simplify the expression. (3−7)(5−6)(3-7)(5-6)(3−7)(5−6)

Use the rule for order of operations to simplify the expression as much as possible. 5+8÷4+45+8 \div 4+45+8÷4+4

Reduce the fraction to lowest terms.

Simplify. −10+4(−5+9)+(−1)-10+4(-5+9)+(-1)−10+4(−5+9)+(−1)

Use the rule for order of operations to simplify the expression as much as possible. 15−3(5⋅3−12)15-3(5 \cdot 3-12)15−3(5⋅3−12)

Fibonacci sequence = 1, 1, 2, 3, 5, 8, . . . Any number in the Fibonacci sequence is a Fibonacci number . Name the Fibonacci numbers that are composite numbers and less than 30.

Use the rule for order of operations to simplify the expression as much as possible. 8+8÷2+68+8 \div 2+68+8÷2+6

Multiply. (−89)2\left(-\frac{8}{9}\right)^{2}(−98​)2

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

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 . 675

Simplify the expression , and then factor the result into the product of primes.

Simplify the expression. 11 - | 5 - 2(5 - 3) |

Perform the indicated operations. Simplify as much as possible. 252−52252+52\frac{25^{2}-5^{2}}{25^{2}+5^{2}}252+52252−52​ Do not convert fractions to decimal form.

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 . 22

Perform the indicated operations. Simplify as much as possible. 3(−4)+5(−6)10−6\frac{3(-4)+5(-6)}{10-6}10−63(−4)+5(−6)​

Simplify the expression. ∣5−2∣|5-2|∣5−2∣

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 associative property to rewrite the expression, and then simplify the result. $\frac{1}{3}(3 y)$

Write the following fraction as an equivalent fraction with denominator 95. $\frac{8}{19}$

Use the rule for order of operations to simplify the expression as much as possible. $2 \cdot 6+3 \cdot 2$

Simplify the expression. $(3-7)(5-6)$

Use the rule for order of operations to simplify the expression as much as possible. $5+8 \div 4+4$

Reduce the fraction to lowest terms. $Reduce the fraction to lowest terms.$

Simplify. $-10+4(-5+9)+(-1)$

Use the rule for order of operations to simplify the expression as much as possible. $15-3(5 \cdot 3-12)$

Use the rule for order of operations to simplify the expression as much as possible. $8+8 \div 2+6$

Multiply. $\left(-\frac{8}{9}\right)^{2}$

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

Perform the indicated operations. Simplify as much as possible. $\frac{25^{2}-5^{2}}{25^{2}+5^{2}}$ Do not convert fractions to decimal form.

Perform the indicated operations. Simplify as much as possible. $\frac{3(-4)+5(-6)}{10-6}$

Simplify the expression. $|5-2|$