Exam 1: Review of Real Numbers

Solve the problem. -A piece of cable which is $\frac { 3 } { 5 } \mathrm {~m}$ long is to be cut into pieces $\frac { 1 } { 10 } \mathrm {~m}$ long. How many pieces will there be?

Simplify. Your answer should be in lowest terms. - $\frac { 4 } { 25 } + \left( - \frac { 11 } { 15 } \right)$

Answer the question. -Is 15 a factor of 1960?

Add. --40 + (43)

Simplify, where possible. -24x - 6y + 15 - 9x - 2 - 4y

Find the missing number. - $\left( \frac { 5 } { 3 } \right) ^ { ? } = \frac { 125 } { 27 }$

Find the mode, if it exists, for the given values. -124 $150,156$

Answer the question. -Is 22 a factor of 4312?

Multiply. Write your answer in lowest terms. - $\frac { 10 } { 3 } \cdot \frac { 9 } { 8 }$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -If the opposite of the absolute value of a number is negative, then the number must be positive? Explain your reasoning.

Add. -3 + (-6)

Convert the improper fraction to a mixed or whole number. - $\frac { 71 } { 9 }$

Solve the problem. -You deposit $48 a week from a savings account for 10 weeks. What is the overall change in the account?

For the given values, find the range. -111

Convert the improper fraction to a mixed or whole number. - $\frac { 21 } { 4 }$

Simplify, where possible. -5y + z - 9(z + 2y)

Simplify. Your answer should be in lowest terms. - $5 \frac { 1 } { 3 } + 5 \frac { 1 } { 3 } + 6 \frac { 5 } { 9 }$

Divide. Write your answer in lowest terms. - $\frac { 2 } { 17 } \div \frac { 5 } { 16 }$

Build a variable expression for the given phrase. -Five times the difference of two numbers.

Divide. Write your answer in lowest terms. - $- 2 \frac { 1 } { 6 } \div 5$