Question 1

Solve.
-$13.5 y-5.7 y=148.2$

Accepted Answer

A)  19 
B)  20 
C)  21 
D)  18 
A)  19 
B)  20 
C)  21 
D)  18

Question 2

Provide an appropriate response.
-Write the steps you would use to solve this equation: $5(\mathrm{x}-1)+5 \mathrm{x}=-2 \mathrm{x}$.

Accepted Answer

Sure! Here are the steps to solve the eq

Question 3

Solve the problem. Round to the nearest hundredth, if necessary.
-What is $10 \%$ of 500 ?

Accepted Answer

A)  50 
B)  5 
C)  0.5 
D)  500 
A)  50 
B)  5 
C)  0.5 
D)  500

Question 4

Solve. Clear decimals first.
-$10.2 y-71.4=30.6 y-214.2$

Accepted Answer

A)  28 
B)  7 
C)  -7 
D)  -28 
A)  28 
B)  7 
C)  -7 
D)  -28

Question 5

Solve.
-Elaine was cooking dinner for some friends. She went out to do the shopping and spent $\$ 156$. She spent twice as much on food as on drinks. How much did she spend on each?

Accepted Answer

A)  Drinks: $39; food: $117 
B)  Drinks: $39; food: $78 
C) Drinks: $78; food: $156 
D)  Drinks: $52; food: $104 
A)  Drinks: $39; food: $117 
B)  Drinks: $39; food: $78 
C) Drinks: $78; food: $156 
D)  Drinks: $52; food: $104

Question 6

Solve the problem. Round to the nearest hundredth, if necessary.
-57 is $124 \%$ of what number?

Accepted Answer

A)  15,376 
B)  45.97 
C)  153.76 
D)  459.7 
A)  15,376 
B)  45.97 
C)  153.76 
D)  459.7

Question 7

Solve the problem. Round to the nearest hundredth, if necessary.
-$43 \%$ of what number is 67 ?

Accepted Answer

A)  155.81 
B)  0.64 
C)  1558.1 
D)  64 
A)  155.81 
B)  0.64 
C)  1558.1 
D)  64

Question 8

Solve the problem.
-Two angles of a triangle are $30^{\circ}$ and $100^{\circ}$. What is the measure of the third angle?

Accepted Answer

A)  $130^{\circ}$ 
B)  $230^{\circ}$ 
C)  $50^{\circ}$ 
D)  $-40^{\circ}$ 
A)  $130^{\circ}$ 
B)  $230^{\circ}$ 
C)  $50^{\circ}$ 
D)  $-40^{\circ}$

Question 9

Solve the problem. Round to the nearest hundredth, if necessary.
-68 is $30 \%$ of what number?

Accepted Answer

A)  20.4 
B)  22.67 
C)  2266.7 
D)  226.67 
A)  20.4 
B)  22.67 
C)  2266.7 
D)  226.67

Question 10

Solve using the multiplication principle.
-$\frac{1}{8}=\frac{6}{11} x$

Accepted Answer

A)  $\frac{3}{44}$ 
B)  $\frac{11}{48}$ 
C)  $\frac{48}{11}$ 
D)  $\frac{44}{3}$ 
A)  $\frac{3}{44}$ 
B)  $\frac{11}{48}$ 
C)  $\frac{48}{11}$ 
D)  $\frac{44}{3}$

Question 11

Solve. Clear fractions first.
-$\frac{5}{3} y-15=-10$

Accepted Answer

A)  3 
B)  -3 
C)  15 
D)  1 
A)  3 
B)  -3 
C)  15 
D)  1

Question 12

Solve the problem.
-A pie-shaped (triangular) lake-front lot has a perimeter of 2200 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Accepted Answer

A)  $500 \mathrm{ft}, 700 \mathrm{ft}, 1000 \mathrm{ft}$ 
B)  $600 \mathrm{ft}, 800 \mathrm{ft}, 1100 \mathrm{ft}$ 
C)  $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$ 
D)  $600 \mathrm{ft}, 600 \mathrm{ft}, 600 \mathrm{ft}$ 
A)  $500 \mathrm{ft}, 700 \mathrm{ft}, 1000 \mathrm{ft}$ 
B)  $600 \mathrm{ft}, 800 \mathrm{ft}, 1100 \mathrm{ft}$ 
C)  $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$ 
D)  $600 \mathrm{ft}, 600 \mathrm{ft}, 600 \mathrm{ft}$

Question 13

Solve using the addition and multiplication principles.
-$5+3 x<-28$

Accepted Answer

A) $\{x \mid x\frac{23}{3}\right\}$ C) $\{x \mid x>-11\}$ D) $\left\{\mathrm{x} \mid \mathrm{x}<\frac{23}{3}\right\}$ A) $\{x \mid x\frac{23}{3}\right\}$ C) $\{x \mid x>-11\}$ D) $\left\{\mathrm{x} \mid \mathrm{x}<\frac{23}{3}\right\}$

Question 14

Provide an appropriate response.
-The solution of the equation $7 y-6=7 y+3$ is zero.

Accepted Answer

A) True 
 B)False

Question 15

Solve.
-$12 \mathrm{x}+7 \mathrm{x}=114$

Accepted Answer

A)  95 
B)  6 
C)  $\frac{19}{14}$ 
D)  $\frac{19}{2}$ 
A)  95 
B)  6 
C)  $\frac{19}{14}$ 
D)  $\frac{19}{2}$

Question 16

Solve.
-$8 \mathrm{k}+78=4(2 \mathrm{k}+19)$

Accepted Answer

A)  2 
B)  No solution 
C)  -2 
D)  All real numbers 
A)  2 
B)  No solution 
C)  -2 
D)  All real numbers

Question 17

Solve the problem. Round to the nearest tenth of a percent.
-957 is what percent of 742 ?

Accepted Answer

A)  $0.1 \%$ 
B)  $77.5 \%$ 
C)  $1.3 \%$ 
D)  $129.0 \%$ 
A)  $0.1 \%$ 
B)  $77.5 \%$ 
C)  $1.3 \%$ 
D)  $129.0 \%$

Question 18

Solve using the multiplication principle.
-$-2 x<\frac{3}{7}$

Accepted Answer

A)  $\left\{x \mid x\frac{5}{7}\right\}$ 
D)  $\left\{x \mid x>-\frac{3}{14}\right\}$ 
A)  $\left\{x \mid x\frac{5}{7}\right\}$ 
D)  $\left\{x \mid x>-\frac{3}{14}\right\}$

Question 19

Solve using the multiplication principle.
-$-2 b=22$

Accepted Answer

A)  -11 
B)  -24 
C)  24 
D)  1 
A)  -11 
B)  -24 
C)  24 
D)  1

Question 20

Solve. Clear fractions first.
-$\frac{6}{7}+\frac{1}{8} x=4$

Accepted Answer

A)  $-\frac{7}{4}$ 
B)  $\frac{176}{7}$ 
C)  $\frac{160}{7}$ 
D)  $-\frac{16}{7}$ 
A)  $-\frac{7}{4}$ 
B)  $\frac{176}{7}$ 
C)  $\frac{160}{7}$ 
D)  $-\frac{16}{7}$

Solve. - $13.5 y-5.7 y=148.2$

Provide an appropriate response. -Write the steps you would use to solve this equation: $5(\mathrm{x}-1)+5 \mathrm{x}=-2 \mathrm{x}$ .

Solve the problem. Round to the nearest hundredth, if necessary. -What is $10 \%$ of 500 ?

Solve. Clear decimals first. - $10.2 y-71.4=30.6 y-214.2$

Solve. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $\$ 156$ . She spent twice as much on food as on drinks. How much did she spend on each?

Solve the problem. Round to the nearest hundredth, if necessary. -57 is $124 \%$ of what number?

Solve the problem. Round to the nearest hundredth, if necessary. - $43 \%$ of what number is 67 ?

Solve the problem. -Two angles of a triangle are $30^{\circ}$ and $100^{\circ}$ . What is the measure of the third angle?

Solve the problem. Round to the nearest hundredth, if necessary. -68 is $30 \%$ of what number?

Solve using the multiplication principle. - $\frac{1}{8}=\frac{6}{11} x$

Solve. Clear fractions first. - $\frac{5}{3} y-15=-10$

Solve the problem. -A pie-shaped (triangular) lake-front lot has a perimeter of 2200 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Solve using the addition and multiplication principles. - $5+3 x<-28$

Provide an appropriate response. -The solution of the equation $7 y-6=7 y+3$ is zero.

Solve. - $12 \mathrm{x}+7 \mathrm{x}=114$

Solve. - $8 \mathrm{k}+78=4(2 \mathrm{k}+19)$

Solve the problem. Round to the nearest tenth of a percent. -957 is what percent of 742 ?

Solve using the multiplication principle. - $-2 x<\frac{3}{7}$

Solve using the multiplication principle. - $-2 b=22$

Solve. Clear fractions first. - $\frac{6}{7}+\frac{1}{8} x=4$

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

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 2: Solving Equations and Inequalities

Solve. - 13.5y−5.7y=148.213.5 y-5.7 y=148.213.5y−5.7y=148.2

Provide an appropriate response. -Write the steps you would use to solve this equation: 5(x−1)+5x=−2x5(\mathrm{x}-1)+5 \mathrm{x}=-2 \mathrm{x}5(x−1)+5x=−2x .

Solve the problem. Round to the nearest hundredth, if necessary. -What is 10%10 \%10% of 500 ?

Solve. Clear decimals first. - 10.2y−71.4=30.6y−214.210.2 y-71.4=30.6 y-214.210.2y−71.4=30.6y−214.2

Solve. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $156\$ 156$156 . She spent twice as much on food as on drinks. How much did she spend on each?

Solve the problem. Round to the nearest hundredth, if necessary. -57 is 124%124 \%124% of what number?

Solve the problem. Round to the nearest hundredth, if necessary. - 43%43 \%43% of what number is 67 ?

Solve the problem. -Two angles of a triangle are 30∘30^{\circ}30∘ and 100∘100^{\circ}100∘ . What is the measure of the third angle?

Solve the problem. Round to the nearest hundredth, if necessary. -68 is 30%30 \%30% of what number?

Solve using the multiplication principle. - 18=611x\frac{1}{8}=\frac{6}{11} x81​=116​x

Solve. Clear fractions first. - 53y−15=−10\frac{5}{3} y-15=-1035​y−15=−10