Question 1

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$(9 w) 6$ as $54 w$

Accepted Answer

@#LAT-DLM& Using the commutati

Question 2

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$(2+\mathrm{y})+3$ as $\mathrm{y}+5$

Accepted Answer

@#LAT-DLM& Using the commutati

Question 3

Insert \) to write a true statement.
--5 -----------0

Accepted Answer

A) $-5>0$ B) $-5<0$ A) $-5>0$ B) $-5<0$

Question 4

Rewrite the division as a multiplication.
-$\frac{9}{\frac{1}{a}}$

Accepted Answer

A)  $\frac{1}{9} \cdot \frac{1}{a}$ 
B)  $9 \cdot \frac{1}{\mathrm{a}}$ 
C)  $\frac{1}{9} \cdot a$ 
D)  $9 \cdot a$ 
A)  $\frac{1}{9} \cdot \frac{1}{a}$ 
B)  $9 \cdot \frac{1}{\mathrm{a}}$ 
C)  $\frac{1}{9} \cdot a$ 
D)  $9 \cdot a$

Question 5

Solve the problem.
-A football team gained 33 yards on one play, lost 23 yards on another, and gained 18yards on the last play of the first half. They had already gained 234 yards during the half. What was the total yardage gain for the first half?

Accepted Answer

A)  285 yards 
B)  308yards 
C)  206yards 
D)  262 yards 
A)  285 yards 
B)  308yards 
C)  206yards 
D)  262 yards

Question 6

Remove parentheses and simplify.
--4.7(8 r+4)+4.7(3 r+5)

Accepted Answer

A)  $-23.5 r+4.7$ 
B)  $-23.5 r+4$ 
C)  $-56.4 r$ 
D)  $3.3 r-0.7$ 
A)  $-23.5 r+4.7$ 
B)  $-23.5 r+4$ 
C)  $-56.4 r$ 
D)  $3.3 r-0.7$

Question 7

Evaluate $-x$ for the given value of $x$.
-$x=-\frac{1}{123}$

Accepted Answer

A)  0 
B)  $\frac{1}{123}$ 
C)  123 
D)  $-\frac{1}{123}$ 
A)  0 
B)  $\frac{1}{123}$ 
C)  123 
D)  $-\frac{1}{123}$

Question 8

Add. Do not use a number line except as a check.
-$-\frac{1}{8}+\left(-\frac{1}{5}\right)$

Accepted Answer

A)  -1 
B)  $-\frac{3}{40}$ 
C)  $-\frac{13}{40}$ 
D)  $-\frac{2}{13}$ 
A)  -1 
B)  $-\frac{3}{40}$ 
C)  $-\frac{13}{40}$ 
D)  $-\frac{2}{13}$

Question 9

Add. Do not use a number line except as a check.
-$8.4+(-3.5)$

Accepted Answer

A)  4.9 
B)  8.4 
C)  -11.9 
D)  11.9 
A)  4.9 
B)  8.4 
C)  -11.9 
D)  11.9

Question 10

Divide.
-$\frac{4}{7} \div\left(-\frac{8}{5}\right)$

Accepted Answer

A)  $-\frac{32}{35}$ 
B)  $-\frac{5}{14}$ 
C)  $-\frac{35}{32}$ 
D)  $-\frac{14}{5}$ 
A)  $-\frac{32}{35}$ 
B)  $-\frac{5}{14}$ 
C)  $-\frac{35}{32}$ 
D)  $-\frac{14}{5}$

Question 11

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-s(t8) as 8(ts)

Accepted Answer

@#LAT-DLM& Using the commutati

Question 12

Write an equivalent expression. Use a commutative law.
-$2+x y$

Accepted Answer

A)  $2 x y$, or $2 y x$ 
B)  $x y+2$, or $2+y x$ 
C)  $2+x+y$ 
D)  $2(1+x y)$ 
A)  $2 x y$, or $2 y x$ 
B)  $x y+2$, or $2+y x$ 
C)  $2+x+y$ 
D)  $2(1+x y)$

Question 13

Simplify.
-$4+(-24)(-28)-5$

Accepted Answer

A)  51 
B)  644 
C)  779 
D)  671 
A)  51 
B)  644 
C)  779 
D)  671

Question 14

Round to the requested decimal place.
-$\$ 6154.92$ (round to the nearest dollar)

Accepted Answer

A)  $\$ 6155$ 
B)  $\$ 6154.9$ 
C)  $\$ 6154$ 
D)  $\$ 6154.92$ 
A)  $\$ 6155$ 
B)  $\$ 6154.9$ 
C)  $\$ 6154$ 
D)  $\$ 6154.92$

Question 15

Add. Do not use a number line except as a check.
-$-55+0$

Accepted Answer

A)  -55 
B)  -550 
C)  55 
D)  0 
A)  -55 
B)  -550 
C)  55 
D)  0

Question 16

Convert to decimal notation.
-$\frac{4937}{1000}$

Accepted Answer

A)  493.7 
B)  49.37 
C)  4.937 
D)  0.4937 
A)  493.7 
B)  49.37 
C)  4.937 
D)  0.4937

Question 17

Add. Do not use a number line except as a check.
-$-58+25$

Accepted Answer

A)  83 
B)  -83 
C)  -33 
D)  33 
A)  83 
B)  -83 
C)  -33 
D)  33

Question 18

Solve the problem.
-Projections indicate that by next year, $94.3 \%$ of people under the age of 17 will own a cell phone. $34.4 \%$ of people above the age of 61 will own a cell phone. Express these percents as decimals.

Accepted Answer

A)  $0.943 ; 0.344$ 
B)  $9.43 ; 3.44$ 
C)  $0.0943 ; 0.0344$ 
D)  $943 ; 344$ 
A)  $0.943 ; 0.344$ 
B)  $9.43 ; 3.44$ 
C)  $0.0943 ; 0.0344$ 
D)  $943 ; 344$

Question 19

Evaluate the expression for the given value of x.
-$3 x^{3}, x=-1$

Accepted Answer

A)  -9 
B)  3 
C)  -27 
D)  -3 
A)  -9 
B)  3 
C)  -27 
D)  -3

Question 20

Solve the problem.
-In Smithville, there were 230 teachers in 1990 and 324 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period. Round to the nearest tenth of a percent.

Accepted Answer

A)  $29 \%$ 
B)  $40.9 \%$ 
C)  $45 \%$ 
D)  $49 \%$ 
A)  $29 \%$ 
B)  $40.9 \%$ 
C)  $45 \%$ 
D)  $49 \%$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(9 w) 6$ as $54 w$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(2+\mathrm{y})+3$ as $\mathrm{y}+5$

Insert < or $>$ to write a true statement. --5 -----------0

Rewrite the division as a multiplication. - $\frac{9}{\frac{1}{a}}$

Solve the problem. -A football team gained 33 yards on one play, lost 23 yards on another, and gained 18yards on the last play of the first half. They had already gained 234 yards during the half. What was the total yardage gain for the first half?

Remove parentheses and simplify. --4.7(8 r+4)+4.7(3 r+5)

Evaluate $-x$ for the given value of $x$ . - $x=-\frac{1}{123}$

Add. Do not use a number line except as a check. - $-\frac{1}{8}+\left(-\frac{1}{5}\right)$

Add. Do not use a number line except as a check. - $8.4+(-3.5)$

Divide. - $\frac{4}{7} \div\left(-\frac{8}{5}\right)$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -s(t8) as 8(ts)

Write an equivalent expression. Use a commutative law. - $2+x y$

Simplify. - $4+(-24)(-28)-5$

Round to the requested decimal place. - $\$ 6154.92$ (round to the nearest dollar)

Add. Do not use a number line except as a check. - $-55+0$

Convert to decimal notation. - $\frac{4937}{1000}$

Add. Do not use a number line except as a check. - $-58+25$

Solve the problem. -Projections indicate that by next year, $94.3 \%$ of people under the age of 17 will own a cell phone. $34.4 \%$ of people above the age of 61 will own a cell phone. Express these percents as decimals.

Evaluate the expression for the given value of x. - $3 x^{3}, x=-1$

Solve the problem. -In Smithville, there were 230 teachers in 1990 and 324 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period. Round to the nearest tenth of a percent.

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

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - (9w)6(9 w) 6(9w)6 as 54w54 w54w

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - (2+y)+3(2+\mathrm{y})+3(2+y)+3 as y+5\mathrm{y}+5y+5

Insert < or >>> to write a true statement. --5 -----------0

Rewrite the division as a multiplication. - 91a\frac{9}{\frac{1}{a}}a1​9​

Solve the problem. -A football team gained 33 yards on one play, lost 23 yards on another, and gained 18yards on the last play of the first half. They had already gained 234 yards during the half. What was the total yardage gain for the first half?

Remove parentheses and simplify. --4.7(8 r+4)+4.7(3 r+5)

Evaluate −x-x−x for the given value of xxx . - x=−1123x=-\frac{1}{123}x=−1231​

Add. Do not use a number line except as a check. - −18+(−15)-\frac{1}{8}+\left(-\frac{1}{5}\right)−81​+(−51​)

Add. Do not use a number line except as a check. - 8.4+(−3.5)8.4+(-3.5)8.4+(−3.5)

Divide. - 47÷(−85)\frac{4}{7} \div\left(-\frac{8}{5}\right)74​÷(−58​)

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -s(t8) as 8(ts)

Write an equivalent expression. Use a commutative law. - 2+xy2+x y2+xy

Simplify. - 4+(−24)(−28)−54+(-24)(-28)-54+(−24)(−28)−5

Round to the requested decimal place. - $6154.92\$ 6154.92$6154.92 (round to the nearest dollar)

Add. Do not use a number line except as a check. - −55+0-55+0−55+0

Convert to decimal notation. - 49371000\frac{4937}{1000}10004937​

Add. Do not use a number line except as a check. - −58+25-58+25−58+25

Solve the problem. -Projections indicate that by next year, 94.3%94.3 \%94.3% of people under the age of 17 will own a cell phone. 34.4%34.4 \%34.4% of people above the age of 61 will own a cell phone. Express these percents as decimals.

Evaluate the expression for the given value of x. - 3x3,x=−13 x^{3}, x=-13x3,x=−1

Solve the problem. -In Smithville, there were 230 teachers in 1990 and 324 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period. Round to the nearest tenth of a percent.

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

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(9 w) 6$ as $54 w$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(2+\mathrm{y})+3$ as $\mathrm{y}+5$

Insert < or $>$ to write a true statement. --5 -----------0

Rewrite the division as a multiplication. - $\frac{9}{\frac{1}{a}}$

Evaluate $-x$ for the given value of $x$ . - $x=-\frac{1}{123}$

Add. Do not use a number line except as a check. - $-\frac{1}{8}+\left(-\frac{1}{5}\right)$

Add. Do not use a number line except as a check. - $8.4+(-3.5)$

Divide. - $\frac{4}{7} \div\left(-\frac{8}{5}\right)$

Write an equivalent expression. Use a commutative law. - $2+x y$

Simplify. - $4+(-24)(-28)-5$

Round to the requested decimal place. - $\$ 6154.92$ (round to the nearest dollar)

Add. Do not use a number line except as a check. - $-55+0$

Convert to decimal notation. - $\frac{4937}{1000}$

Add. Do not use a number line except as a check. - $-58+25$

Solve the problem. -Projections indicate that by next year, $94.3 \%$ of people under the age of 17 will own a cell phone. $34.4 \%$ of people above the age of 61 will own a cell phone. Express these percents as decimals.

Evaluate the expression for the given value of x. - $3 x^{3}, x=-1$