Question 1

Choose the correct mathematical model for the following. Five less than the product of 5 and x is 7.

Accepted Answer

A)  5 - 5 x = 7 
B)  $\frac { 5 } { x } - 5 = 7$ 
C)  $5 - \frac { 5 } { x } = 7$ 
D)  5 x - 5 = 7 
A)  5 - 5 x = 7 
B)  $\frac { 5 } { x } - 5 = 7$ 
C)  $5 - \frac { 5 } { x } = 7$ 
D)  5 x - 5 = 7

Question 2

Classify the following as an expression or an equation. 
$\sqrt { 2 x ^ { 2 } }$

Accepted Answer

A)  expression 
B)  equation 
A)  expression 
B)  equation

Question 3

Cream is approximately 22% butterfat. How many gallons of cream must be mixed with milk testing at 2% butterfat to get 80 gallons of milk containing 4% butterfat?
 __________ gal

Accepted Answer

The answer of Cream is approximately 22% butterfat. How many...

Question 4

The sum of the measures of the three angles of any triangle is 180∘ 1 . In the illustration, the measure of angle 2 is 10∘ larger than the measure of angle 1. The measure angle 3 is 22∘ larger than the measure of angle 2.   Find angle 1 measure. __________ ∘ Find angle 2 measure. __________ ∘ Find angle 3 measure. __________ ∘

Accepted Answer

The answer of The sum of the measures of the...

Question 5

A cyclist leaves his training base for a morning workout, riding at the rate of 15 mph. One hour later, her support staff leaves the base in a car going 35 mph in the same direction. How long will it take the support staff to catch up with the cyclist?

Accepted Answer

A)  $\frac { 3 } { 7 } \mathrm { hr }$ 
B)  $\frac { 4 } { 7 } \mathrm { hr }$ 
C)  $\frac { 1 } { 2 } \mathrm { hr }$ 
D)  $\frac { 3 } { 4 } \mathrm { hr }$ 
E)  $\frac { 5 } { 6 } h t$ 
A)  $\frac { 3 } { 7 } \mathrm { hr }$ 
B)  $\frac { 4 } { 7 } \mathrm { hr }$ 
C)  $\frac { 1 } { 2 } \mathrm { hr }$ 
D)  $\frac { 3 } { 4 } \mathrm { hr }$ 
E)  $\frac { 5 } { 6 } h t$

Question 6

Last year, a women's professional organization made two small business loans totaling $38,000 to young women beginning their own businesses. The money was lent at 7% and 10% simple interest rates. If the annual income the organization received from these loans was $3,560, what was each loan amount?
 $__________ at 7% $__________ at 10%

Accepted Answer

The answer of Last year, a women's professional organization made...

Question 7

Find the number of feet of edging needed to outline a rectangular flower bed having adjacent sides that are 9 feet and 8 feet long.

Accepted Answer

A)  34 feet 
B)  42 feet 
C)  17 feet 
D)  36 feet 
A)  34 feet 
B)  42 feet 
C)  17 feet 
D)  36 feet

Question 8

How much water should be added to 26 ounces of a 23% solution of alcohol to dilute it to a 13% alcohol solution?

Accepted Answer

A)  20 oz 
B)  24 oz 
C)  17 oz 
D)  23 oz 
E)  19 oz 
A)  20 oz 
B)  24 oz 
C)  17 oz 
D)  23 oz 
E)  19 oz

Question 9

Translate the verbal model into a mathematical model. The cost c each semester is the sum of $10 times the number of units u taken and a student services fee of $23.

Accepted Answer

A)  $c = 10 u - 23$ 
B)  $c = 10 u + 23$ 
C)  $u = 23 c - 10$ 
D)  $c = 23 u - 10$ 
E)  $u = 23 c + 10$ 
A)  $c = 10 u - 23$ 
B)  $c = 10 u + 23$ 
C)  $u = 23 c - 10$ 
D)  $c = 23 u - 10$ 
E)  $u = 23 c + 10$

Question 10

A bedroom set regularly sells for $958. If it is on sale for $718.50, what is the percent of markdown?

Accepted Answer

A)  22% 
B)  27% 
C)  20% 
D)  25% 
E)  29% 
A)  22% 
B)  27% 
C)  20% 
D)  25% 
E)  29%

Question 11

Solve the equation. Check the result. $a + 16 = 3 a - 3 + a$

Accepted Answer

A)  $\frac { 6 } { 19 }$ 
B)  $\frac { 3 } { 19 }$ 
C)  $\frac { 19 } { 6 }$ 
D)  $- \frac { 19 } { 3 }$ 
E)  $\frac { 19 } { 3 }$ 
A)  $\frac { 6 } { 19 }$ 
B)  $\frac { 3 } { 19 }$ 
C)  $\frac { 19 } { 6 }$ 
D)  $- \frac { 19 } { 3 }$ 
E)  $\frac { 19 } { 3 }$

Question 12

Find the perimeter of a parallelogram if two of its adjacent sides are 15 inches and 10 inches.

Accepted Answer

A)  665 inches 
B)  90 inches 
C)  300 inches 
D)  50 inches 
A)  665 inches 
B)  90 inches 
C)  300 inches 
D)  50 inches

Question 13

Find the area of a circle with radius 4.4 inches. Round the answer to the nearest hundredth.

Accepted Answer

The answer of Find the area of a circle with...

Question 14

The sum of the angles of any four-sided figure (called a quadrilateral ) is $360 ^ { \circ }$ . The quadrilateral shown has two equal base angles. Find x.   
x = __________ ∘

Accepted Answer

The answer of The sum of the angles of any...

Question 15

A group of junior high students will be touring Washington, D.C. Their chaperons will have the $1,934 cost of the tour reduced by $15.50 for each student they personally supervise. How many students will a chaperon have to supervise so that his or her cost to take the tour will be $1,500?
 __________ students

Accepted Answer

The answer of A group of junior high students will...

Question 16

Evaluate the expression for the given values. $\frac { y _ { 2 } - y _ { 1 } } { x _ { 2 } - x _ { 1 } }$ for $x _ { 1 } = - 1 , x _ { 2 } = 5 , y _ { 1 } = 32 , y _ { 2 } = - 4$

Accepted Answer

The answer of Evaluate the expression for the given values....

Question 17

Solve the formula for the specified variable. $V = \frac { 1 } { 3 } B h \text { for } B$

Accepted Answer

A)  $B = \frac { 3 h } { V }$ 
B)  $B = \frac { h } { 3 V }$ 
C)  $B = \frac { V } { 3 h }$ 
D)  $B = \frac { V } { h }$ 
E)  $B = \frac { 3 V } { h }$ 
A)  $B = \frac { 3 h } { V }$ 
B)  $B = \frac { h } { 3 V }$ 
C)  $B = \frac { V } { 3 h }$ 
D)  $B = \frac { V } { h }$ 
E)  $B = \frac { 3 V } { h }$

Question 18

A 17 foot board is cut into two pieces. The longer piece is five feet more than three times the shorter piece. Find the length of the longer piece. ________ feet

Accepted Answer

The answer of A 17 foot board is cut into...

Question 19

Find a fraction whose decimal equivalent is $0 . \overline { 234 }$

Accepted Answer

The answer of Find a fraction whose decimal equivalent is...

Question 20

A(n) __________ is a mathematical sentence that contains an = symbol.

Accepted Answer

The answer of A(n) __________ is a mathematical sentence that...

Choose the correct mathematical model for the following. Five less than the product of 5 and x is 7.

Classify the following as an expression or an equation. $\sqrt { 2 x ^ { 2 } }$

Cream is approximately 22% butterfat. How many gallons of cream must be mixed with milk testing at 2% butterfat to get 80 gallons of milk containing 4% butterfat? __________ gal

A cyclist leaves his training base for a morning workout, riding at the rate of 15 mph. One hour later, her support staff leaves the base in a car going 35 mph in the same direction. How long will it take the support staff to catch up with the cyclist?

Find the number of feet of edging needed to outline a rectangular flower bed having adjacent sides that are 9 feet and 8 feet long.

How much water should be added to 26 ounces of a 23% solution of alcohol to dilute it to a 13% alcohol solution?

Translate the verbal model into a mathematical model. The cost c each semester is the sum of $10 times the number of units u taken and a student services fee of $23.

A bedroom set regularly sells for $958. If it is on sale for $718.50, what is the percent of markdown?

Solve the equation. Check the result. $a + 16 = 3 a - 3 + a$

Find the perimeter of a parallelogram if two of its adjacent sides are 15 inches and 10 inches.

Find the area of a circle with radius 4.4 inches. Round the answer to the nearest hundredth.

Evaluate the expression for the given values. $\frac { y _ { 2 } - y _ { 1 } } { x _ { 2 } - x _ { 1 } }$ for $x _ { 1 } = - 1 , x _ { 2 } = 5 , y _ { 1 } = 32 , y _ { 2 } = - 4$

Solve the formula for the specified variable. $V = \frac { 1 } { 3 } B h \text { for } B$

A 17 foot board is cut into two pieces. The longer piece is five feet more than three times the shorter piece. Find the length of the longer piece. ________ feet

Find a fraction whose decimal equivalent is $0 . \overline { 234 }$

A(n) __________ is a mathematical sentence that contains an = symbol.

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 1: A Review of Basic Algebra

Choose the correct mathematical model for the following. Five less than the product of 5 and x is 7.

Classify the following as an expression or an equation. 2x2\sqrt { 2 x ^ { 2 } }2x2​

Cream is approximately 22% butterfat. How many gallons of cream must be mixed with milk testing at 2% butterfat to get 80 gallons of milk containing 4% butterfat? __________ gal

A cyclist leaves his training base for a morning workout, riding at the rate of 15 mph. One hour later, her support staff leaves the base in a car going 35 mph in the same direction. How long will it take the support staff to catch up with the cyclist?

Find the number of feet of edging needed to outline a rectangular flower bed having adjacent sides that are 9 feet and 8 feet long.

How much water should be added to 26 ounces of a 23% solution of alcohol to dilute it to a 13% alcohol solution?

Translate the verbal model into a mathematical model. The cost c each semester is the sum of $10 times the number of units u taken and a student services fee of $23.

A bedroom set regularly sells for $958. If it is on sale for $718.50, what is the percent of markdown?

Solve the equation. Check the result. a+16=3a−3+aa + 16 = 3 a - 3 + aa+16=3a−3+a

Find the perimeter of a parallelogram if two of its adjacent sides are 15 inches and 10 inches.

Find the area of a circle with radius 4.4 inches. Round the answer to the nearest hundredth.

The sum of the angles of any four-sided figure (called a quadrilateral ) is 360∘360 ^ { \circ }360∘ . The quadrilateral shown has two equal base angles. Find x. x = __________ ∘

Evaluate the expression for the given values. y2−y1x2−x1\frac { y _ { 2 } - y _ { 1 } } { x _ { 2 } - x _ { 1 } }x2​−x1​y2​−y1​​ for x1=−1,x2=5,y1=32,y2=−4x _ { 1 } = - 1 , x _ { 2 } = 5 , y _ { 1 } = 32 , y _ { 2 } = - 4x1​=−1,x2​=5,y1​=32,y2​=−4

Solve the formula for the specified variable. V=13Bh for BV = \frac { 1 } { 3 } B h \text { for } BV=31​Bh for B

A 17 foot board is cut into two pieces. The longer piece is five feet more than three times the shorter piece. Find the length of the longer piece. ________ feet

Find a fraction whose decimal equivalent is 0.234‾0 . \overline { 234 }0.234

A(n) __________ is a mathematical sentence that contains an = symbol.

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Classify the following as an expression or an equation. $\sqrt { 2 x ^ { 2 } }$

Solve the equation. Check the result. $a + 16 = 3 a - 3 + a$

Evaluate the expression for the given values. $\frac { y _ { 2 } - y _ { 1 } } { x _ { 2 } - x _ { 1 } }$ for $x _ { 1 } = - 1 , x _ { 2 } = 5 , y _ { 1 } = 32 , y _ { 2 } = - 4$

Solve the formula for the specified variable. $V = \frac { 1 } { 3 } B h \text { for } B$

Find a fraction whose decimal equivalent is $0 . \overline { 234 }$