Question 1

Solve. Clear fractions first.
-$\frac{15}{14} x+\frac{1}{14} x=2 x+\frac{1}{7}+\frac{13}{14} x$

Accepted Answer

A)  $\frac{1}{25}$ 
B)  $-\frac{2}{25}$ 
C)  $-\frac{1}{25}$ 
D)  $\frac{2}{31}$ 
A)  $\frac{1}{25}$ 
B)  $-\frac{2}{25}$ 
C)  $-\frac{1}{25}$ 
D)  $\frac{2}{31}$

Question 2

Solve the problem.
-During one year, the Larson's real estate bill included $\$ 528$ for local schools. Of this amount, $\$ 310$ went to the high school district. What percent did the Larsons pay to the high school district? (Round answer to two decimal places.)

Accepted Answer

A)  $58.52 \%$ 
B)  $31.00 \%$ 
C)  $41.29 \%$ 
D)  $58.71 \%$ 
A)  $58.52 \%$ 
B)  $31.00 \%$ 
C)  $41.29 \%$ 
D)  $58.71 \%$

Question 3

Solve. Clear decimals first.
-$1.2 x+1.1=-15.4+4.5 x$

Accepted Answer

A)  5 
B)  -20 
C)  3.9 
D)  3.7 
A)  5 
B)  -20 
C)  3.9 
D)  3.7

Question 4

Solve the problem. Round to the nearest hundredth, if necessary.
-What number is $150 \%$ of 434 ?

Accepted Answer

A)  6510 
B)  65,100 
C)  65.1 
D)  651 
A)  6510 
B)  65,100 
C)  65.1 
D)  651

Question 5

Solve using the multiplication principle.
-$-35.5 y=532.5$

Accepted Answer

A)  -517.5 
B)  -497 
C)  -15 
D)  $-\frac{1}{15}$ 
A)  -517.5 
B)  -497 
C)  -15 
D)  $-\frac{1}{15}$

Question 6

Solve.
-Elaine was cooking dinner for some friends. She went out to do the shopping and spent $\$ 60$. She spent twice as much on food as on drinks. How much did she spend on each?

Accepted Answer

A)  Drinks: $\$ 15$; food: $\$ 45$ 
B)  Drinks: $\$ 30$; food: $\$ 60$ 
C)  Drinks: $\$ 20$; food: $\$ 40$ 
D)  Drinks: $\$ 15$; food: $\$ 30$ 
A)  Drinks: $\$ 15$; food: $\$ 45$ 
B)  Drinks: $\$ 30$; food: $\$ 60$ 
C)  Drinks: $\$ 20$; food: $\$ 40$ 
D)  Drinks: $\$ 15$; food: $\$ 30$

Question 7

Solve the problem.
-Midtown Antiques has found that sales have decreased $4 \%$ from last year. Sales this year are \$ 119,958 . Find the amount of last year's sales. Round your answer to the nearest dollar.

Accepted Answer

A)  $\$ 124,946$ 
B)  $\$ 125,956$ 
C)  $\$ 124,856$ 
D)  $\$ 124,956$ 
A)  $\$ 124,946$ 
B)  $\$ 125,956$ 
C)  $\$ 124,856$ 
D)  $\$ 124,956$

Question 8

Solve.
-$8.3-1.3(x+7.7)=10-3(x+6)$

Accepted Answer

A)  11.3 
B)  14.3 
C)  8.3 
D)  -3.7 
A)  11.3 
B)  14.3 
C)  8.3 
D)  -3.7

Question 9

Solve the problem.
-The area of a triangle must be at most 82.5 square inches, the base is 15 inches, and the height is $x$ inches. Find the possible values for $x$.

Accepted Answer

A)  $x<11$ 
B)    
C)   
D)    
A)  $x<11$ 
B)    
C)   
D)

Question 10

Solve. Clear decimals first.
-$1.5 y-2.7=0.8 y+1.78$

Accepted Answer

A)  6.4 
B)  -0.156 
C)  7.04 
D)  6.5 
A)  6.4 
B)  -0.156 
C)  7.04 
D)  6.5

Question 11

Solve using the multiplication principle.
-$2.7 x=21.6$

Accepted Answer

A)  $\frac{1}{8}$ 
B)  8 
C)  18.9 
D)  13.6 
A)  $\frac{1}{8}$ 
B)  8 
C)  18.9 
D)  13.6

Question 12

Solve.
-$5.7 x+6.3 x=156$

Accepted Answer

A)  15 
B)  13 
C)  14 
D)  12 
A)  15 
B)  13 
C)  14 
D)  12

Solve. Clear fractions first. - $\frac{15}{14} x+\frac{1}{14} x=2 x+\frac{1}{7}+\frac{13}{14} x$

Solve the problem. -During one year, the Larson's real estate bill included $\$ 528$ for local schools. Of this amount, $\$ 310$ went to the high school district. What percent did the Larsons pay to the high school district? (Round answer to two decimal places.)

Solve. Clear decimals first. - $1.2 x+1.1=-15.4+4.5 x$

Solve the problem. Round to the nearest hundredth, if necessary. -What number is $150 \%$ of 434 ?

Solve using the multiplication principle. - $-35.5 y=532.5$

Solve. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $\$ 60$ . She spent twice as much on food as on drinks. How much did she spend on each?

Solve the problem. -Midtown Antiques has found that sales have decreased $4 \%$ from last year. Sales this year are \$ 119,958 . Find the amount of last year's sales. Round your answer to the nearest dollar.

Solve. - $8.3-1.3(x+7.7)=10-3(x+6)$

Solve the problem. -The area of a triangle must be at most 82.5 square inches, the base is 15 inches, and the height is $x$ inches. Find the possible values for $x$ .

Solve. Clear decimals first. - $1.5 y-2.7=0.8 y+1.78$

Solve using the multiplication principle. - $2.7 x=21.6$

Solve. - $5.7 x+6.3 x=156$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 8: Solving Equations and Inequalities

Solve. Clear fractions first. - 1514x+114x=2x+17+1314x\frac{15}{14} x+\frac{1}{14} x=2 x+\frac{1}{7}+\frac{13}{14} x1415​x+141​x=2x+71​+1413​x

Solve the problem. -During one year, the Larson's real estate bill included $528\$ 528$528 for local schools. Of this amount, $310\$ 310$310 went to the high school district. What percent did the Larsons pay to the high school district? (Round answer to two decimal places.)

Solve. Clear decimals first. - 1.2x+1.1=−15.4+4.5x1.2 x+1.1=-15.4+4.5 x1.2x+1.1=−15.4+4.5x

Solve the problem. Round to the nearest hundredth, if necessary. -What number is 150%150 \%150% of 434 ?

Solve using the multiplication principle. - −35.5y=532.5-35.5 y=532.5−35.5y=532.5

Solve. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $60\$ 60$60 . She spent twice as much on food as on drinks. How much did she spend on each?

Solve the problem. -Midtown Antiques has found that sales have decreased 4%4 \%4% from last year. Sales this year are \$ 119,958 . Find the amount of last year's sales. Round your answer to the nearest dollar.

Solve. - 8.3−1.3(x+7.7)=10−3(x+6)8.3-1.3(x+7.7)=10-3(x+6)8.3−1.3(x+7.7)=10−3(x+6)

Solve the problem. -The area of a triangle must be at most 82.5 square inches, the base is 15 inches, and the height is xxx inches. Find the possible values for xxx .

Solve. Clear decimals first. - 1.5y−2.7=0.8y+1.781.5 y-2.7=0.8 y+1.781.5y−2.7=0.8y+1.78

Solve using the multiplication principle. - 2.7x=21.62.7 x=21.62.7x=21.6

Solve. - 5.7x+6.3x=1565.7 x+6.3 x=1565.7x+6.3x=156