Question 1

Translate the phrase to an algebraic expression.
-Twice $x$

Accepted Answer

A)  $3+x$ 
B)  $3 \mathrm{x}$ 
C)  $2 \mathrm{x}$ 
D)  $2+x$ 
A)  $3+x$ 
B)  $3 \mathrm{x}$ 
C)  $2 \mathrm{x}$ 
D)  $2+x$

Question 2

Subtract.
-

Accepted Answer

A)  32.927 
B)  32.917 
C)  32.923 
D)  34.000 
A)  32.927 
B)  32.917 
C)  32.923 
D)  34.000

Question 3

Find the prime factorization of the number.
-63

Accepted Answer

A)  $21 \cdot 3$ 
B)  $3 \cdot 7 \cdot 3$ 
C)  $7 \cdot 7 \cdot 3$ 
D)  $3 \cdot 3 \cdot 3$ 
A)  $21 \cdot 3$ 
B)  $3 \cdot 7 \cdot 3$ 
C)  $7 \cdot 7 \cdot 3$ 
D)  $3 \cdot 3 \cdot 3$

Question 4

Simplify.
-$-\frac{19}{20}+\frac{1}{15}-\left(-\frac{1}{5}\right)+\frac{3}{5}$

Accepted Answer

A)  $-\frac{29}{60}$ 
B)  $\frac{17}{12}$ 
C)  $-\frac{1}{10}$ 
D)  $-\frac{1}{12}$ 
A)  $-\frac{29}{60}$ 
B)  $\frac{17}{12}$ 
C)  $-\frac{1}{10}$ 
D)  $-\frac{1}{12}$

Question 5

List the terms of the expression.
-$-8+4 a-8 b$

Accepted Answer

A)  $-8,4, a,-8, b$ 
B)  $-8,4 a,-8 b$ 
C)  $4 \mathrm{a}, 8 \mathrm{~b}$ 
D)  $8,4 \mathrm{a}, 8 \mathrm{~b}$ 
A)  $-8,4, a,-8, b$ 
B)  $-8,4 a,-8 b$ 
C)  $4 \mathrm{a}, 8 \mathrm{~b}$ 
D)  $8,4 \mathrm{a}, 8 \mathrm{~b}$

Question 6

Find an equivalent expression with the given denominator.
-$\frac{1}{12}$ (Denominator: 24)

Accepted Answer

A)  $\frac{1}{24}$ 
B)  $\frac{24}{288}$ 
C)  $\frac{2}{24}$ 
D)  $\frac{12}{24}$ 
A)  $\frac{1}{24}$ 
B)  $\frac{24}{288}$ 
C)  $\frac{2}{24}$ 
D)  $\frac{12}{24}$

Question 7

Insert \) to write a true statement.
-86------ -71

Accepted Answer

A) 86 >-71 B) $86<-71$ A) 86 >-71 B) $86<-71$

Question 8

Factor. Check by multiplying.
-$2+18 \mathrm{a}+10 \mathrm{~b}$

Accepted Answer

A)  $2(1+18 a+10 b)$ 
B)  $2(1+9 a+5 b)$ 
C)  $2(0+9 a+5 b)$ 
D)  $18(1+a+b)$ 
A)  $2(1+18 a+10 b)$ 
B)  $2(1+9 a+5 b)$ 
C)  $2(0+9 a+5 b)$ 
D)  $18(1+a+b)$

Question 9

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-(z6)6 as $36 z$

Accepted Answer

@#LAT-DLM& Using the associati

Question 10

List the terms of the expression.
-$-1+7 r-6 r t$

Accepted Answer

A)  $1,7 r, 6 r t$ 
B)  $-1,7 r,-6 r t$ 
C)  - $1,7 r,-6 r, t$ 
D)  - $1,7 r, 6 r t$ 
A)  $1,7 r, 6 r t$ 
B)  $-1,7 r,-6 r t$ 
C)  - $1,7 r,-6 r, t$ 
D)  - $1,7 r, 6 r t$

Question 11

Find the reciprocal, if it exists.
--3

Accepted Answer

A)  3 
B)  $-\frac{1}{3}$ 
C)  0 
D)  $\frac{1}{3}$ 
A)  3 
B)  $-\frac{1}{3}$ 
C)  0 
D)  $\frac{1}{3}$

Question 12

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-(   ) m as 3 (   )

Accepted Answer

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

Question 13

Convert to fractional notation.
-$0.9 \%$

Accepted Answer

A)  $\frac{9}{2000}$ 
B)  $\frac{9}{1000}$ 
C)  $\frac{9}{500}$ 
D)  $\frac{9}{100}$ 
A)  $\frac{9}{2000}$ 
B)  $\frac{9}{1000}$ 
C)  $\frac{9}{500}$ 
D)  $\frac{9}{100}$

Question 14

Divide, if possible.
-$\frac{0}{-12}$

Accepted Answer

A)  Not defined 
B)  1 
C)  12 
D)  0 
A)  Not defined 
B)  1 
C)  12 
D)  0

Question 15

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

Accepted Answer

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

Question 16

Find an equivalent expression with the given denominator.
-$\frac{3}{4}=\frac{?}{16 \mathrm{x}}$

Accepted Answer

A)  $\frac{3 x}{16 x}$ 
B)  $\frac{12 x}{16 x}$ 
C)  $\frac{12}{16 x}$ 
D)  $\frac{7 x}{16 x}$ 
A)  $\frac{3 x}{16 x}$ 
B)  $\frac{12 x}{16 x}$ 
C)  $\frac{12}{16 x}$ 
D)  $\frac{7 x}{16 x}$

Question 17

Add. Do not use a number line except as a check.
-$415+(-33)+45+(-213)+(-60)+391$

Accepted Answer

A)  665 
B)  -1157 
C)  545 
D)  -545 
A)  665 
B)  -1157 
C)  545 
D)  -545

Question 18

Calculate.
-$2[7+4(5+5)]$

Accepted Answer

A)  216 
B)  54 
C)  220 
D)  94 
A)  216 
B)  54 
C)  220 
D)  94

Question 19

Simplify.
-$11+17 \cdot 19-(-10)$

Accepted Answer

A)  57 
B)  522 
C)  542 
D)  344 
A)  57 
B)  522 
C)  542 
D)  344

Question 20

Simplify.
-$7.3-(-11.2)-(-9.3)$

Accepted Answer

A)  -27.8 
B)  5.4 
C)  -13.2 
D)  27.8 
A)  -27.8 
B)  5.4 
C)  -13.2 
D)  27.8

Translate the phrase to an algebraic expression. -Twice $x$

Subtract. -

Find the prime factorization of the number. -63

Simplify. - $-\frac{19}{20}+\frac{1}{15}-\left(-\frac{1}{5}\right)+\frac{3}{5}$

List the terms of the expression. - $-8+4 a-8 b$

Find an equivalent expression with the given denominator. - $\frac{1}{12}$ (Denominator: 24)

Insert < or $>$ to write a true statement. -86------ -71

Factor. Check by multiplying. - $2+18 \mathrm{a}+10 \mathrm{~b}$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -(z6)6 as $36 z$

List the terms of the expression. - $-1+7 r-6 r t$

Find the reciprocal, if it exists. --3

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -( ) m as 3 ( )

Convert to fractional notation. - $0.9 \%$

Divide, if possible. - $\frac{0}{-12}$

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

Find an equivalent expression with the given denominator. - $\frac{3}{4}=\frac{?}{16 \mathrm{x}}$

Add. Do not use a number line except as a check. - $415+(-33)+45+(-213)+(-60)+391$

Calculate. - $2[7+4(5+5)]$

Simplify. - $11+17 \cdot 19-(-10)$

Simplify. - $7.3-(-11.2)-(-9.3)$

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

Translate the phrase to an algebraic expression. -Twice xxx

Subtract. -

Find the prime factorization of the number. -63

Simplify. - −1920+115−(−15)+35-\frac{19}{20}+\frac{1}{15}-\left(-\frac{1}{5}\right)+\frac{3}{5}−2019​+151​−(−51​)+53​

List the terms of the expression. - −8+4a−8b-8+4 a-8 b−8+4a−8b

Find an equivalent expression with the given denominator. - 112\frac{1}{12}121​ (Denominator: 24)

Insert < or >>> to write a true statement. -86------ -71

Factor. Check by multiplying. - 2+18a+10 b2+18 \mathrm{a}+10 \mathrm{~b}2+18a+10 b

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -(z6)6 as 36z36 z36z

List the terms of the expression. - −1+7r−6rt-1+7 r-6 r t−1+7r−6rt