Question 1

Solve. Clear decimals first.
-$8.35 y-50.1+5.01 y=3.34 y-20.04+30.06$

Accepted Answer

A)  18 
B)  -6 
C)  -18 
D)  6 
A)  18 
B)  -6 
C)  -18 
D)  6

Question 2

Solve the problem.
-One side of a rectangle is 16 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at least 58 ?

Accepted Answer

A)    
B)  $x \geq 13$ 
C)  $\mathrm{x}<13$ 
D)  $x \leq 13$ 
A)    
B)  $x \geq 13$ 
C)  $\mathrm{x}<13$ 
D)  $x \leq 13$

Question 3

Solve the problem.
-Brand $X$ copier has improved its copier so that it produces $24 \%$ more copies than its old model. If the old model ran 667 copies per hour, how many copies would the new model run? Round your answer to the nearest whole number.

Accepted Answer

A)  812 copies per hour 
B)  827 copies per hour 
C)  682 copies per hour 
D)  379 copies per hour 
A)  812 copies per hour 
B)  827 copies per hour 
C)  682 copies per hour 
D)  379 copies per hour

Question 4

Solve. Clear fractions first.
-$\frac{1}{18} y-1=2$

Accepted Answer

A)  56 
B)  -54 
C)  54 
D)  -56 
A)  56 
B)  -54 
C)  54 
D)  -56

Question 5

Solve.
-The area of Mark's backyard is about 7 times the area of Jon's backyard. The area of Mark's backyard is $5411 \mathrm{ft}^{2}$. What is the area of Jon's backyard?

Accepted Answer

A)  $5411 \mathrm{ft}^{2}$ 
B)  $886 \mathrm{ft}^{2}$ 
C)  $5404 \mathrm{ft}^{2}$ 
D)  $773 \mathrm{ft}^{2}$ 
A)  $5411 \mathrm{ft}^{2}$ 
B)  $886 \mathrm{ft}^{2}$ 
C)  $5404 \mathrm{ft}^{2}$ 
D)  $773 \mathrm{ft}^{2}$

Question 6

Solve the problem.
-A shop keeper is making a triangular sign for his store front, but he must keep the sign under $20 \mathrm{ft}^{2}$ to adhere to zoning laws. If the base of the sign is $10 \mathrm{ft}$, what is the maximum height of the triangular sign?

Accepted Answer

A)  $4.0 \mathrm{ft}$ 
B)  $1.000 \mathrm{ft}$ 
C)  $2.00 \mathrm{ft}$ 
D)  $30 \mathrm{ft}$ 
A)  $4.0 \mathrm{ft}$ 
B)  $1.000 \mathrm{ft}$ 
C)  $2.00 \mathrm{ft}$ 
D)  $30 \mathrm{ft}$

Question 7

Solve the problem.
-Find the length of a rectangular lot with a perimeter of 126 meters if the length is 7 meters more than the width. $(\mathrm{P}=2 \mathrm{~L}+2 \mathrm{~W})$

Accepted Answer

A)  $35 \mathrm{~m}$ 
B)  $28 \mathrm{~m}$ 
C)  $63 \mathrm{~m}$ 
D)  $70 \mathrm{~m}$ 
A)  $35 \mathrm{~m}$ 
B)  $28 \mathrm{~m}$ 
C)  $63 \mathrm{~m}$ 
D)  $70 \mathrm{~m}$

Question 8

Translate the sentence to an inequality.
-Four added to half of a number is at most one.

Accepted Answer

A) $\frac{1}{2} \mathrm{x}+4>1$ B) $\frac{1}{2} \mathrm{x}+4 \leq 1$ C) $\frac{1}{2} \mathrm{x}+4<1$ D) $\frac{1}{2} \mathrm{x}+4 \geq 1$ A) $\frac{1}{2} \mathrm{x}+4>1$ B) $\frac{1}{2} \mathrm{x}+4 \leq 1$ C) $\frac{1}{2} \mathrm{x}+4<1$ D) $\frac{1}{2} \mathrm{x}+4 \geq 1$

Question 9

Solve the problem.
-One side of a rectangle is 4 times the other, and the perimeter is not to exceed 130. Find the possible values for $x$, the length of the shorter side.

Accepted Answer

A)  $\mathrm{x} \leq 13$ 
B)  $0<\mathrm{x} \leq 13$ 
C)  $x \geq 52$ 
D)  $0<x \leq 52$ 
A)  $\mathrm{x} \leq 13$ 
B)  $0<\mathrm{x} \leq 13$ 
C)  $x \geq 52$ 
D)  $0<x \leq 52$

Question 10

Solve. Clear fractions first.
-$x+\frac{1}{2} x=21$

Accepted Answer

A)  7 
B)  17 
C)  14 
D)  42 
A)  7 
B)  17 
C)  14 
D)  42

Question 11

Solve.
-$-5 x-8 x=65$

Accepted Answer

A)  -4 
B)  -5 
C)  78 
D)  5 
A)  -4 
B)  -5 
C)  78 
D)  5

Question 12

Solve the problem.
-A 9- pound puppy is gaining weight at a rate of $\frac{2}{3} \mathrm{lb}$ per week. How much more time will it take for the puppy's weight to exceed $29 \frac{2}{3} \mathrm{lb}$ ?

Accepted Answer

A)  more than 32 weeks 
B)  more than $20 \frac{3}{4}$ week(s) 
C)  more than 58 weeks 
D)  more than 31 weeks 
A)  more than 32 weeks 
B)  more than $20 \frac{3}{4}$ week(s) 
C)  more than 58 weeks 
D)  more than 31 weeks

Question 13

Solve the equation using the addition principle.
-$24=-12+z$

Accepted Answer

A)  36 
B)  -36 
C)  -12 
D)  12 
A)  36 
B)  -36 
C)  -12 
D)  12

Question 14

Solve the problem.
-The normal gasoline mileage of a car is $49 \mathrm{mpg}$. On a smooth road, its mileage is $12 \%$ higher. What is its mileage on a smooth road? Round your answer to the nearest tenth.

Accepted Answer

A)  $54.9 \mathrm{mpg}$ 
B)  $49 \mathrm{mpg}$ 
C)  $5.9 \mathrm{mpg}$ 
D)  $50 \mathrm{mpg}$ 
A)  $54.9 \mathrm{mpg}$ 
B)  $49 \mathrm{mpg}$ 
C)  $5.9 \mathrm{mpg}$ 
D)  $50 \mathrm{mpg}$

Question 15

Solve.
-$6 y+4=4 y$

Accepted Answer

A)  -2 
B)  $\frac{2}{5}$ 
C)  $-\frac{2}{5}$ 
D)  2 
A)  -2 
B)  $\frac{2}{5}$ 
C)  $-\frac{2}{5}$ 
D)  2

Question 16

Solve using the multiplication principle.
-$3 n \geq 9$

Accepted Answer

A) $\{n \mid n \geq 3\}$ B) $\{n \mid n \leq 3\}$ C) $\{n \mid n>3\}$ D) $\{n \mid n<3\}$ A) $\{n \mid n \geq 3\}$ B) $\{n \mid n \leq 3\}$ C) $\{n \mid n>3\}$ D) $\{n \mid n<3\}$

Question 17

Solve.
-$8 \mathrm{x}-5+8 \mathrm{x}=5 \mathrm{x}+21-2 \mathrm{x}$

Accepted Answer

A)  4 
B)  3 
C)  1 
D)  2 
A)  4 
B)  3 
C)  1 
D)  2

Question 18

Solve the problem.
-The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum length of the triangular flags, if they want to use a maximum of 414 in. $^{2}$ of cloth?

Accepted Answer

A)  23 in. 
B)  48 in. 
C)  46 in. 
D)  92 in. 
A)  23 in. 
B)  48 in. 
C)  46 in. 
D)  92 in.

Question 19

Solve the problem.
-The equation $y=0.005 x+0.30$ can be used to determine the approximate profit, $y$ in dollars, of producing $x$ items. How many items must be produced so the profit will be at least $\$ 1285$ ?

Accepted Answer

A)  $0<x \leq 256,939$ 
B)  $\mathrm{x} \geq 256,940$ 
C)  $\mathrm{x} \leq 256,940$ 
D)  $\mathrm{x} \geq 257,060$ 
A)  $0<x \leq 256,939$ 
B)  $\mathrm{x} \geq 256,940$ 
C)  $\mathrm{x} \leq 256,940$ 
D)  $\mathrm{x} \geq 257,060$

Question 20

Solve the equation using the addition principle.
-$x-\frac{9}{10}=-\frac{2}{5}$

Accepted Answer

A)  $-\frac{1}{2}$ 
B)  $-\frac{13}{10}$ 
C)  $\frac{1}{2}$ 
D)  $\frac{13}{10}$ 
A)  $-\frac{1}{2}$ 
B)  $-\frac{13}{10}$ 
C)  $\frac{1}{2}$ 
D)  $\frac{13}{10}$

Solve. Clear decimals first. - $8.35 y-50.1+5.01 y=3.34 y-20.04+30.06$

Solve the problem. -One side of a rectangle is 16 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at least 58 ?

Solve the problem. -Brand $X$ copier has improved its copier so that it produces $24 \%$ more copies than its old model. If the old model ran 667 copies per hour, how many copies would the new model run? Round your answer to the nearest whole number.

Solve. Clear fractions first. - $\frac{1}{18} y-1=2$

Solve. -The area of Mark's backyard is about 7 times the area of Jon's backyard. The area of Mark's backyard is $5411 \mathrm{ft}^{2}$ . What is the area of Jon's backyard?

Solve the problem. -A shop keeper is making a triangular sign for his store front, but he must keep the sign under $20 \mathrm{ft}^{2}$ to adhere to zoning laws. If the base of the sign is $10 \mathrm{ft}$ , what is the maximum height of the triangular sign?

Solve the problem. -Find the length of a rectangular lot with a perimeter of 126 meters if the length is 7 meters more than the width. $(\mathrm{P}=2 \mathrm{~L}+2 \mathrm{~W})$

Translate the sentence to an inequality. -Four added to half of a number is at most one.

Solve the problem. -One side of a rectangle is 4 times the other, and the perimeter is not to exceed 130. Find the possible values for $x$ , the length of the shorter side.

Solve. Clear fractions first. - $x+\frac{1}{2} x=21$

Solve. - $-5 x-8 x=65$

Solve the problem. -A 9- pound puppy is gaining weight at a rate of $\frac{2}{3} \mathrm{lb}$ per week. How much more time will it take for the puppy's weight to exceed $29 \frac{2}{3} \mathrm{lb}$ ?

Solve the equation using the addition principle. - $24=-12+z$

Solve the problem. -The normal gasoline mileage of a car is $49 \mathrm{mpg}$ . On a smooth road, its mileage is $12 \%$ higher. What is its mileage on a smooth road? Round your answer to the nearest tenth.

Solve. - $6 y+4=4 y$

Solve using the multiplication principle. - $3 n \geq 9$

Solve. - $8 \mathrm{x}-5+8 \mathrm{x}=5 \mathrm{x}+21-2 \mathrm{x}$

Solve the problem. -The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum length of the triangular flags, if they want to use a maximum of 414 in. $^{2}$ of cloth?

Solve the problem. -The equation $y=0.005 x+0.30$ can be used to determine the approximate profit, $y$ in dollars, of producing $x$ items. How many items must be produced so the profit will be at least $\$ 1285$ ?

Solve the equation using the addition principle. - $x-\frac{9}{10}=-\frac{2}{5}$

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. Clear decimals first. - 8.35y−50.1+5.01y=3.34y−20.04+30.068.35 y-50.1+5.01 y=3.34 y-20.04+30.068.35y−50.1+5.01y=3.34y−20.04+30.06

Solve the problem. -One side of a rectangle is 16 inches and the other side is xxx inches. What values of xxx will make the perimeter at least 58 ?

Solve the problem. -Brand XXX copier has improved its copier so that it produces 24%24 \%24% more copies than its old model. If the old model ran 667 copies per hour, how many copies would the new model run? Round your answer to the nearest whole number.

Solve. Clear fractions first. - 118y−1=2\frac{1}{18} y-1=2181​y−1=2

Solve. -The area of Mark's backyard is about 7 times the area of Jon's backyard. The area of Mark's backyard is 5411ft25411 \mathrm{ft}^{2}5411ft2 . What is the area of Jon's backyard?

Solve the problem. -A shop keeper is making a triangular sign for his store front, but he must keep the sign under 20ft220 \mathrm{ft}^{2}20ft2 to adhere to zoning laws. If the base of the sign is 10ft10 \mathrm{ft}10ft , what is the maximum height of the triangular sign?

Solve the problem. -Find the length of a rectangular lot with a perimeter of 126 meters if the length is 7 meters more than the width. (P=2 L+2 W)(\mathrm{P}=2 \mathrm{~L}+2 \mathrm{~W})(P=2 L+2 W)