Question 1

Collect like terms.
-$\frac{7}{3} x+\frac{5}{6} y-\frac{3}{5} x-\frac{3}{5} y+9$

Accepted Answer

A)  $\frac{26}{15} x+\frac{1}{3} y+9$ 
B)  $\frac{26}{15} x+\frac{43}{30} y+9$ 
C)  $\frac{26}{15} \mathrm{x}+\frac{7}{30} \mathrm{y}+9$ 
D)  $\frac{7}{5} x+\frac{1}{2} y+9$ 
A)  $\frac{26}{15} x+\frac{1}{3} y+9$ 
B)  $\frac{26}{15} x+\frac{43}{30} y+9$ 
C)  $\frac{26}{15} \mathrm{x}+\frac{7}{30} \mathrm{y}+9$ 
D)  $\frac{7}{5} x+\frac{1}{2} y+9$

Question 2

Add. Do not use a number line except as a check.
-$53+(-80)$

Accepted Answer

A)  -27 
B)  -133 
C)  27 
D)  133 
A)  -27 
B)  -133 
C)  27 
D)  133

Question 3

Solve the problem.
-Monday's closing value of your company's stock was up $\frac{1}{8}$. Tuesday's was up $\frac{3}{16}$, Wednesday's was down $\frac{3}{2}$, but Thursday's closing was up again by $\frac{3}{8}$. Finally, the stock closed the week down $\frac{3}{4}$. What was the net change for the week?

Accepted Answer

A)  $\frac{47}{16}$ 
B)  $-\frac{31}{16}$ 
C)  $\frac{23}{16}$ 
D)  $-\frac{25}{16}$ 
A)  $\frac{47}{16}$ 
B)  $-\frac{31}{16}$ 
C)  $\frac{23}{16}$ 
D)  $-\frac{25}{16}$

Question 4

Find an equivalent expression with the given denominator.
-$\frac{4}{7 y}=\frac{?}{7 y^{2}}$

Accepted Answer

A)  $\frac{y}{7 y^{2}}$ 
B)  $\frac{28 y}{7 y^{2}}$ 
C)  $\frac{4 y}{7 y^{2}}$ 
D)  $\frac{4 y^{2}}{7 y^{2}}$ 
A)  $\frac{y}{7 y^{2}}$ 
B)  $\frac{28 y}{7 y^{2}}$ 
C)  $\frac{4 y}{7 y^{2}}$ 
D)  $\frac{4 y^{2}}{7 y^{2}}$

Question 5

Convert to decimal notation.
-$\frac{7}{16}$

Accepted Answer

A)  0.875 
B)  0.47 
C)  1.3125 
D)  0.4375 
A)  0.875 
B)  0.47 
C)  1.3125 
D)  0.4375

Question 6

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$9+(a+b)$ as $b+(9+a)$

Accepted Answer

@#LAT-DLM& Using the associati

Question 7

Multiply.
-$-18 \cdot(-13)$

Accepted Answer

A)  252 
B)  247 
C)  -252 
D)  234 
A)  252 
B)  247 
C)  -252 
D)  234

Question 8

Simplify.
-$\frac{3 a}{14 a b}$

Accepted Answer

A)  $\frac{3 b}{14}$ 
B)  $\frac{3 \mathrm{a}}{14}$ 
C)  $\frac{1}{14 b}$ 
D)  $\frac{3}{14 b}$ 
A)  $\frac{3 b}{14}$ 
B)  $\frac{3 \mathrm{a}}{14}$ 
C)  $\frac{1}{14 b}$ 
D)  $\frac{3}{14 b}$

Question 9

Simplify.
-$\frac{38}{80}$

Accepted Answer

A)  $\frac{40}{19}$ 
B)  $\frac{79}{37}$ 
C)  $\frac{13}{27}$ 
D)  $\frac{19}{40}$ 
A)  $\frac{40}{19}$ 
B)  $\frac{79}{37}$ 
C)  $\frac{13}{27}$ 
D)  $\frac{19}{40}$

Question 10

Convert to decimal notation.
-$-\frac{1}{3}$

Accepted Answer

A)  $0 . \overline{3}$ 
B)  - 3 
C)  0.33333333 
D)  $-0 . \overline{3}$ 
A)  $0 . \overline{3}$ 
B)  - 3 
C)  0.33333333 
D)  $-0 . \overline{3}$

Question 11

Add. Do not use a number line except as a check.
-$-2.2+(-6.9)+(-5.9)+14$

Accepted Answer

A)  -1 
B)  -15.2 
C)  12.8 
D)  10.8 
A)  -1 
B)  -15.2 
C)  12.8 
D)  10.8

Question 12

Find the LCM using prime factorization.
-$8,10,12,15$

Accepted Answer

A)  60 
B)  120 
C)  90 
D)  108 
A)  60 
B)  120 
C)  90 
D)  108

Question 13

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$(\mathrm{x}+8)+3$ as $11+\mathrm{x}$

Accepted Answer

@#LAT-DLM& Using the associati

Question 14

Factor. Check by multiplying.
-$28 \mathrm{a}+7 \mathrm{~b}$

Accepted Answer

A)  $7(4 a+7 b)$ 
B)  $7(4 a+b)$ 
C)  $28(a+b)$ 
D)  $4(7 a+7 b)$ 
A)  $7(4 a+7 b)$ 
B)  $7(4 a+b)$ 
C)  $28(a+b)$ 
D)  $4(7 a+7 b)$

Question 15

Remove parentheses and simplify.
-$36 r+40-7(7 r+3)$

Accepted Answer

A)  $36 r+3$ 
B)  $-13 r-4$ 
C)  - 70r 
D)  $-13 r+19$ 
A)  $36 r+3$ 
B)  $-13 r-4$ 
C)  - 70r 
D)  $-13 r+19$

Question 16

Add. Do not use a number line except as a check.
-$-\frac{2}{5}+\frac{3}{5}$

Accepted Answer

A)  $-\frac{1}{5}$ 
B)  $\frac{1}{5}$ 
C)  1 
D)  - 1 
A)  $-\frac{1}{5}$ 
B)  $\frac{1}{5}$ 
C)  1 
D)  - 1

Question 17

Multiply.
-$-0.9 \cdot 3.55$

Accepted Answer

A)  2.65 
B)  4.45 
C)  3.195 
D)  -3.195 
A)  2.65 
B)  4.45 
C)  3.195 
D)  -3.195

Question 18

Divide.
-

Accepted Answer

A)  321 
B)  3.21 
C)  32.1 
D)  33.1 
A)  321 
B)  3.21 
C)  32.1 
D)  33.1

Question 19

Calculate.
-$27+12 \times 12+5$

Accepted Answer

A)  473 
B)  463 
C)  56 
D)  176 
A)  473 
B)  463 
C)  56 
D)  176

Question 20

Substitute to find the value of the expression.
-A train must cover a distance of 1953 miles. The velocity, in miles per hour, of the train is $\frac{1953}{t}$ where $t$ is the time, in hours, to complete the trip. If the train completes the trip in 21 hours, what is its velocity?

Accepted Answer

A)  $41,013 \mathrm{mph}$ 
B)  $93 \mathrm{mph}$ 
C)  $0.01 \mathrm{mph}$ 
D)  $88 \mathrm{mph}$ 
A)  $41,013 \mathrm{mph}$ 
B)  $93 \mathrm{mph}$ 
C)  $0.01 \mathrm{mph}$ 
D)  $88 \mathrm{mph}$

Collect like terms. - $\frac{7}{3} x+\frac{5}{6} y-\frac{3}{5} x-\frac{3}{5} y+9$

Add. Do not use a number line except as a check. - $53+(-80)$

Find an equivalent expression with the given denominator. - $\frac{4}{7 y}=\frac{?}{7 y^{2}}$

Convert to decimal notation. - $\frac{7}{16}$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $9+(a+b)$ as $b+(9+a)$

Multiply. - $-18 \cdot(-13)$

Simplify. - $\frac{3 a}{14 a b}$

Simplify. - $\frac{38}{80}$

Convert to decimal notation. - $-\frac{1}{3}$

Add. Do not use a number line except as a check. - $-2.2+(-6.9)+(-5.9)+14$

Find the LCM using prime factorization. - $8,10,12,15$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(\mathrm{x}+8)+3$ as $11+\mathrm{x}$

Factor. Check by multiplying. - $28 \mathrm{a}+7 \mathrm{~b}$

Remove parentheses and simplify. - $36 r+40-7(7 r+3)$

Add. Do not use a number line except as a check. - $-\frac{2}{5}+\frac{3}{5}$

Multiply. - $-0.9 \cdot 3.55$

Divide. -

Calculate. - $27+12 \times 12+5$

Substitute to find the value of the expression. -A train must cover a distance of 1953 miles. The velocity, in miles per hour, of the train is $\frac{1953}{t}$ where $t$ is the time, in hours, to complete the trip. If the train completes the trip in 21 hours, what is its velocity?

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

Collect like terms. - 73x+56y−35x−35y+9\frac{7}{3} x+\frac{5}{6} y-\frac{3}{5} x-\frac{3}{5} y+937​x+65​y−53​x−53​y+9

Add. Do not use a number line except as a check. - 53+(−80)53+(-80)53+(−80)

Find an equivalent expression with the given denominator. - 47y=?7y2\frac{4}{7 y}=\frac{?}{7 y^{2}}7y4​=7y2?​

Convert to decimal notation. - 716\frac{7}{16}167​

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - 9+(a+b)9+(a+b)9+(a+b) as b+(9+a)b+(9+a)b+(9+a)

Multiply. - −18⋅(−13)-18 \cdot(-13)−18⋅(−13)

Simplify. - 3a14ab\frac{3 a}{14 a b}14ab3a​

Simplify. - 3880\frac{38}{80}8038​

Convert to decimal notation. - −13-\frac{1}{3}−31​

Add. Do not use a number line except as a check. - −2.2+(−6.9)+(−5.9)+14-2.2+(-6.9)+(-5.9)+14−2.2+(−6.9)+(−5.9)+14

Find the LCM using prime factorization. - 8,10,12,158,10,12,158,10,12,15

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - (x+8)+3(\mathrm{x}+8)+3(x+8)+3 as 11+x11+\mathrm{x}11+x

Factor. Check by multiplying. - 28a+7 b28 \mathrm{a}+7 \mathrm{~b}28a+7 b

Remove parentheses and simplify. - 36r+40−7(7r+3)36 r+40-7(7 r+3)36r+40−7(7r+3)

Add. Do not use a number line except as a check. - −25+35-\frac{2}{5}+\frac{3}{5}−52​+53​

Multiply. - −0.9⋅3.55-0.9 \cdot 3.55−0.9⋅3.55