Question 1

Evaluate.
-$\frac{6 x+3 y}{9}$, when $x=45$ and $y=72$

Accepted Answer

A)  486 
B)  54 
C)  38 
D)  33 
A)  486 
B)  54 
C)  38 
D)  33

Question 2

Perform the indicated operation and, if possible, simplify.
-$\frac{18}{25} \div 45$

Accepted Answer

A)  $\frac{2}{5}$ 
B)  $\frac{5}{2}$ 
C)  $\frac{125}{2}$ 
D)  $\frac{2}{125}$ 
A)  $\frac{2}{5}$ 
B)  $\frac{5}{2}$ 
C)  $\frac{125}{2}$ 
D)  $\frac{2}{125}$

Question 3

Subtract.
-$\frac{1}{3}-\frac{5}{9}$

Accepted Answer

A)  $-\frac{2}{9}$ 
B)  $\frac{8}{9}$ 
C)  $\frac{2}{9}$ 
D)  $-\frac{8}{9}$ 
A)  $-\frac{2}{9}$ 
B)  $\frac{8}{9}$ 
C)  $\frac{2}{9}$ 
D)  $-\frac{8}{9}$

Question 4

Simplify.
-$\frac{140}{280}$

Accepted Answer

A)  2 
B)  $\frac{1}{2}$ 
C)  $\frac{141}{281}$ 
D)  $\frac{279}{139}$ 
A)  2 
B)  $\frac{1}{2}$ 
C)  $\frac{141}{281}$ 
D)  $\frac{279}{139}$

Question 5

Simplify.
-$\frac{-200 y}{175 y}$

Accepted Answer

A)  -25 
B)  $-\frac{8}{7} y$ 
C)  $-\frac{8}{175} y$ 
D)  $-\frac{8}{7}$ 
A)  -25 
B)  $-\frac{8}{7} y$ 
C)  $-\frac{8}{175} y$ 
D)  $-\frac{8}{7}$

Question 6

Multiply.
-$\frac{5}{6} \cdot \frac{5}{7}$

Accepted Answer

A)  $\frac{25}{42}$ 
B)  $\frac{10}{13}$ 
C)  $\frac{42}{25}$ 
D)  $\frac{6}{7}$ 
A)  $\frac{25}{42}$ 
B)  $\frac{10}{13}$ 
C)  $\frac{42}{25}$ 
D)  $\frac{6}{7}$

Question 7

Subtract.
-$-\frac{3}{4}-\left(-\frac{9}{7}\right)$

Accepted Answer

A)  $\frac{15}{28}$ 
B)  $\frac{3}{56}$ 
C)  $\frac{28}{15}$ 
D)  $\frac{15}{4}$ 
A)  $\frac{15}{28}$ 
B)  $\frac{3}{56}$ 
C)  $\frac{28}{15}$ 
D)  $\frac{15}{4}$

Question 8

Solve the problem.
-Bob's rent is $\frac{1}{20}$ of his income. Express this fraction as a percent.

Accepted Answer

A)  $0 \%$ 
B)  $5 \%$ 
C)  $15 \%$ 
D)  $10 \%$ 
A)  $0 \%$ 
B)  $5 \%$ 
C)  $15 \%$ 
D)  $10 \%$

Question 9

Simplify.
-$6(-21)+2(-9)$

Accepted Answer

A)  144 
B)  -144 
C)  1242 
D)  38 
A)  144 
B)  -144 
C)  1242 
D)  38

Question 10

Evaluate - (-x) for the given value of x.
--39

Accepted Answer

A)  0 
B)  39 
C)  $\frac{1}{39}$ 
A)  0 
B)  39 
C)  $\frac{1}{39}$

Question 11

Find percent notation.
-$\frac{23}{100}$

Accepted Answer

A)  $23 \%$ 
B)  $2.3 \%$ 
C)  $230 \%$ 
D)  $0.23 \%$ 
A)  $23 \%$ 
B)  $2.3 \%$ 
C)  $230 \%$ 
D)  $0.23 \%$

Question 12

Multiply.
-$\left(-\frac{2}{3}\right)\left(-\frac{14}{27}\right)$

Accepted Answer

A)  $-\frac{8}{15}$ 
B)  $\frac{7}{9}$ 
C)  $\frac{28}{81}$ 
D)  $\frac{2}{81}$ 
A)  $-\frac{8}{15}$ 
B)  $\frac{7}{9}$ 
C)  $\frac{28}{81}$ 
D)  $\frac{2}{81}$

Question 13

Write the fraction in decimal notation.
-$\frac{35}{40}$

Accepted Answer

A)  0.775 
B)  0.885 
C)  0.835 
D)  0.875 
A)  0.775 
B)  0.885 
C)  0.835 
D)  0.875

Question 14

Find the LCM using prime factorization.
-60,90

Accepted Answer

A)  180 
B)  30 
C)  540 
D)  360 
A)  180 
B)  30 
C)  540 
D)  360

Question 15

Write an equivalent expression. Use a commutative law.
-$p q+z$

Accepted Answer

A)  $p q-z$ 
B)  pqz, or $p+q+z$ 
C)  $\mathrm{z}$ - pq 
D)  $q p+z$, or $z+p q$ 
A)  $p q-z$ 
B)  pqz, or $p+q+z$ 
C)  $\mathrm{z}$ - pq 
D)  $q p+z$, or $z+p q$

Question 16

Add. Do not use a number line except as a check.
-$-\frac{8}{9}+\left(-\frac{7}{9}\right)$

Accepted Answer

A)  $-\frac{1}{9}$ 
B)  $\frac{5}{3}$ 
C)  $\frac{1}{9}$ 
D)  $-\frac{5}{3}$ 
A)  $-\frac{1}{9}$ 
B)  $\frac{5}{3}$ 
C)  $\frac{1}{9}$ 
D)  $-\frac{5}{3}$

Question 17

Add.
-$56.1+41.68+0.087$

Accepted Answer

A)  98.867 
B)  98.667 
C)  97.667 
D)  97.867 
A)  98.867 
B)  98.667 
C)  97.667 
D)  97.867

Question 18

Add. Do not use a number line except as a check.
-$2.5+(-6.3)$

Accepted Answer

A)  3.8 
B)  -8.8 
C)  8.8 
D)  -3.8 
A)  3.8 
B)  -8.8 
C)  8.8 
D)  -3.8

Question 19

Divide, if possible.
-$\frac{72}{-9}$

Accepted Answer

A)  -7 
B)  8 
C)  -9 
D)  - 8 
A)  -7 
B)  8 
C)  -9 
D)  - 8

Question 20

Find the prime factorization of the number.
-350

Accepted Answer

A)  $2 \cdot 5 \cdot 7$ 
B)  $2 \cdot 5 \cdot 5 \cdot 7$ 
C)  $2 \cdot 2 \cdot 5 \cdot 5 \cdot 7$ 
D)  $14 \cdot 5 \cdot 5$ 
A)  $2 \cdot 5 \cdot 7$ 
B)  $2 \cdot 5 \cdot 5 \cdot 7$ 
C)  $2 \cdot 2 \cdot 5 \cdot 5 \cdot 7$ 
D)  $14 \cdot 5 \cdot 5$

Evaluate. - $\frac{6 x+3 y}{9}$ , when $x=45$ and $y=72$

Perform the indicated operation and, if possible, simplify. - $\frac{18}{25} \div 45$

Subtract. - $\frac{1}{3}-\frac{5}{9}$

Simplify. - $\frac{140}{280}$

Simplify. - $\frac{-200 y}{175 y}$

Multiply. - $\frac{5}{6} \cdot \frac{5}{7}$

Subtract. - $-\frac{3}{4}-\left(-\frac{9}{7}\right)$

Solve the problem. -Bob's rent is $\frac{1}{20}$ of his income. Express this fraction as a percent.

Simplify. - $6(-21)+2(-9)$

Evaluate - (-x) for the given value of x. --39

Find percent notation. - $\frac{23}{100}$

Multiply. - $\left(-\frac{2}{3}\right)\left(-\frac{14}{27}\right)$

Write the fraction in decimal notation. - $\frac{35}{40}$

Find the LCM using prime factorization. -60,90

Write an equivalent expression. Use a commutative law. - $p q+z$

Add. Do not use a number line except as a check. - $-\frac{8}{9}+\left(-\frac{7}{9}\right)$

Add. - $56.1+41.68+0.087$

Add. Do not use a number line except as a check. - $2.5+(-6.3)$

Divide, if possible. - $\frac{72}{-9}$

Find the prime factorization of the number. -350

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

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Equations of Lines and Simplifying Radical Expressions

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Exam 1: Introduction to Real Numbers and Algebraic Expressions

Evaluate. - 6x+3y9\frac{6 x+3 y}{9}96x+3y​ , when x=45x=45x=45 and y=72y=72y=72

Perform the indicated operation and, if possible, simplify. - 1825÷45\frac{18}{25} \div 452518​÷45

Subtract. - 13−59\frac{1}{3}-\frac{5}{9}31​−95​

Simplify. - 140280\frac{140}{280}280140​

Simplify. - −200y175y\frac{-200 y}{175 y}175y−200y​

Multiply. - 56⋅57\frac{5}{6} \cdot \frac{5}{7}65​⋅75​

Subtract. - −34−(−97)-\frac{3}{4}-\left(-\frac{9}{7}\right)−43​−(−79​)

Solve the problem. -Bob's rent is 120\frac{1}{20}201​ of his income. Express this fraction as a percent.

Simplify. - 6(−21)+2(−9)6(-21)+2(-9)6(−21)+2(−9)