Question 1

Perform the indicated operation and, if possible, simplify.
-$\frac{15}{19} \div \frac{11}{18}$

Accepted Answer

A)  $\frac{270}{209}$ 
B)  $\frac{26}{37}$ 
C)  $\frac{15}{209}$ 
D)  $\frac{55}{114}$

Question 2

Round to the requested decimal place.
-9.8494 (nearest hundredth)

Accepted Answer

A)  9.75 
B)  9.95 
C)  9.85

Question 3

Solve the problem.
-During one year 35 new employees began work at Daniel's Manufacturing Company and 37 employees left. At the beginning of the year there were 270 employees. What was the number of employees at the end of the year?

Accepted Answer

A)  198 employees 
B)  305 employees 
C)  268 employees 
D)  342 employees

Question 4

Choose the one alternative that best completes the statement or answers the question.
-According to the rules for the order of operations, what should be the first step when simplifying the expression $[-6+(-11+3)]+(-3+8)$ ?

Accepted Answer

A)  find the sum of 3 and -3 
B)  find the sum of -6 and -3 
C)  find the sum of -11 and 3 
D)  find the sum of -6 and -11

Question 5

Find the absolute value.
-$|-4.7|$

Accepted Answer

A)  -4.7 
B)  0 
C)  9.4 
D)  4.7

Question 6

List the terms of the expression.
-$11-2 \mathrm{ab}-7 \mathrm{~b}$

Accepted Answer

A)  11, 2ab, $7 \mathrm{~b}$ 
B)  $-11,-2, a, b,-7 b$ 
C)  $11,2, a, b, 7$ 
D)  $11,-2 a b,-7 b$

Question 7

Write exponential notation.
-$10 \cdot 10 \cdot 10$

Accepted Answer

A)  30 
B)  $10^{3}$ 
C)  $10^{4}$ 
D)  $3^{10}$

Question 8

Subtract.
-$0.52-(-0.51)$

Accepted Answer

A)  1.03 
B)  0.2652 
C)  0.01 
D)  1.13

Question 9

Convert to decimal notation.
-$29 \%$

Accepted Answer

A)  290 
B)  0.29 
C)  2.9 
D)  0.029

Question 10

Subtract.
-$-14-(-6)$

Accepted Answer

A)  -20 
B)  -8 
C)  8 
D)  20

Question 11

Add. Do not use a number line except as a check.
-$-5+(-61)+60+(-52)$

Accepted Answer

A)  -48 
B)  -58 
C)  46 
D)  -178

Question 12

Write an equivalent expression. Use an associative law.
-$(7+\mathrm{u})+\mathrm{v}$

Accepted Answer

A)  $7+(u+v)$ 
B)  $(u+7)+v$ 
C)  $(7+v)+u$ 
D)  $v+(7+u)$

Question 13

Find all the factors of the number
-30

Accepted Answer

A)  $1,5,6,30$ 
B)  $5,6,10,30$ 
C)  $1,2,3,5,6,10,20,30$ 
D)  $1,2,3,5,6,10,15,30$

Question 14

Multiply.
-$\left(\frac{8}{9}\right) \cdot\left(-\frac{1}{8}\right)$

Accepted Answer

A)  $\frac{7}{17}$ 
B)  $-\frac{7}{72}$ 
C)  $-\frac{9}{64}$ 
D)  $-\frac{1}{9}$

Question 15

Divide.
-

Accepted Answer

A)  50 
B)  5 
C)  0.5 
D)  0.05

Question 16

Evaluate.
-$\left(\frac{4}{7}\right)^{2}$

Accepted Answer

A)  $\frac{16}{7}$ 
B)  $\frac{8}{14}$ 
C)  $\frac{4}{49}$ 
D)  $\frac{16}{49}$

Question 17

Simplify.
-$-19+8-(-4)$

Accepted Answer

A)  -7 
B)  7 
C)  -31 
D)  -15

Question 18

Multiply.
-$\left(\frac{20}{19}\right)\left(\frac{9}{8}\right)$

Accepted Answer

A)  $\frac{45}{38}$ 
B)  $\frac{5}{38}$ 
C)  $\frac{171}{160}$ 
D)  $\frac{29}{27}$

Question 19

Convert to decimal notation.
-$-\frac{23}{10}$

Accepted Answer

A)  $-2 . \overline{3}$ 
B)  -0.23 
C)  -4.6 
D)  -2.3

Question 20

Solve the problem.
-John earns $\$ 9.73 /$ hour. If he works 13 hours, how much will he earn?

Accepted Answer

A)  $\$ 127.59$ 
B)  $\$ 126.49$ 
C)  $\$ 126.59$ 
D)  $\$ 126.5$

Exam 1: Introduction to Real Numbers and Algebraic Expressions

Perform the indicated operation and, if possible, simplify. - $\frac{15}{19} \div \frac{11}{18}$

Round to the requested decimal place. -9.8494 (nearest hundredth)

Solve the problem. -During one year 35 new employees began work at Daniel's Manufacturing Company and 37 employees left. At the beginning of the year there were 270 employees. What was the number of employees at the end of the year?

Choose the one alternative that best completes the statement or answers the question. -According to the rules for the order of operations, what should be the first step when simplifying the expression $[-6+(-11+3) ]+(-3+8)$ ?

Find the absolute value. - $|-4.7|$

List the terms of the expression. - $11-2 \mathrm{ab}-7 \mathrm{~b}$

Write exponential notation. - $10 \cdot 10 \cdot 10$

Subtract. - $0.52-(-0.51)$

Convert to decimal notation. - $29 \%$

Subtract. - $-14-(-6)$

Add. Do not use a number line except as a check. - $-5+(-61) +60+(-52)$

Write an equivalent expression. Use an associative law. - $(7+\mathrm{u}) +\mathrm{v}$

Find all the factors of the number -30

Multiply. - $\left(\frac{8}{9}\right) \cdot\left(-\frac{1}{8}\right)$

Divide. -

Evaluate. - $\left(\frac{4}{7}\right) ^{2}$

Simplify. - $-19+8-(-4)$

Multiply. - $\left(\frac{20}{19}\right) \left(\frac{9}{8}\right)$

Convert to decimal notation. - $-\frac{23}{10}$

Solve the problem. -John earns $\$ 9.73 /$ hour. If he works 13 hours, how much will he earn?

Exam 1: Introduction to Real Numbers and Algebraic Expressions

Perform the indicated operation and, if possible, simplify. - 1519÷1118\frac{15}{19} \div \frac{11}{18}1915​÷1811​

Round to the requested decimal place. -9.8494 (nearest hundredth)

Solve the problem. -During one year 35 new employees began work at Daniel's Manufacturing Company and 37 employees left. At the beginning of the year there were 270 employees. What was the number of employees at the end of the year?

Choose the one alternative that best completes the statement or answers the question. -According to the rules for the order of operations, what should be the first step when simplifying the expression [−6+(−11+3) ]+(−3+8) [-6+(-11+3) ]+(-3+8) [−6+(−11+3) ]+(−3+8) ?

Find the absolute value. - ∣−4.7∣|-4.7|∣−4.7∣

List the terms of the expression. - 11−2ab−7 b11-2 \mathrm{ab}-7 \mathrm{~b}11−2ab−7 b

Write exponential notation. - 10⋅10⋅1010 \cdot 10 \cdot 1010⋅10⋅10

Subtract. - 0.52−(−0.51) 0.52-(-0.51) 0.52−(−0.51)

Convert to decimal notation. - 29%29 \%29%

Subtract. - −14−(−6) -14-(-6) −14−(−6)

Add. Do not use a number line except as a check. - −5+(−61) +60+(−52) -5+(-61) +60+(-52) −5+(−61) +60+(−52)

Write an equivalent expression. Use an associative law. - (7+u) +v(7+\mathrm{u}) +\mathrm{v}(7+u) +v