Big Ideas Math::Assignment Preview
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Big Ideas Math ©2015 HS Algebra 1: Common Core Edition
Chapter 1 Test
Exercise 1
Which step can you use to solve the equation 9
= y + 4?
Add 4 to each side of the equation.
Subtract 4 from each side of the equation.
2
Multiply each side of the equation by 4.
Divide each side of the equation by 4.
Solve the equation 9
= y + 4.
y = 1
Correct answers:
1
5
Exercise 2
y
Which step can you use to solve the equation 3
Multiply each side of the equation by 3.
= 5? 2
Subtract 5 from each side of the equation.
Add 3 to each side of the equation.
Divide each side of the equation by 5.
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y
Solve the equation 3
= 5.
y = 1
Correct answers:
1
15
Exercise 3
Solve the equation −4
=
k + 3
.
2
k= 1
Correct answers:
1
−11
Exercise 4
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The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
An equation is 1
= 540.
The solution is x =
2
.
Correct answers:
1
20x + 80
2
23
Exercise 5
Solve the equation 3 − (2c − 8)
c=
= 7.
1
Correct answers:
1
2
Exercise 6
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Big Ideas Math::Assignment Preview
Solve the equation −3 (2 + 4p)
p=
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= 2 (2p − 1).
1
Correct answers:
1
− 14
Exercise 7
The equation 4 (5 − w) = −2 (2w − 3) has 1
solution(s).
1
solution(s).
Correct answers:
1
no
Exercise 8
The equation −2 (3h − 1) = 5 (2h − 3) has Correct answers:
1
1
Exercise 9
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Solve the equation 4 + 4 |2x − 1|
The solutions are x =
1
= 12. and x = 2
.
Correct answers:
1
−0.5
1.5
2
Exercise 10
Solve the equation |6y + 2|
= 2 |2y − 1|. The solutions are y =
1
and y = 2
.
Correct answers:
1
−2
2
0
Exercise 11
Find the extraneous solution of the equation |2x − 12|
x=
1
= −4x .
Correct answers:
1
2
Exercise 12
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Solve the equation |3x + 7|
-10
-8
-6
= |3x + 11| . Graph the solutions, if possible.
-4
-2
0
2
4
6
8
10
Exercise 13
Solve the literal equation a + 4b
= 5b − 3a for a.
a= 1
Correct answers:
1
1
b
4
Exercise 14
Solve the literal equation cy + 3
y=
= 6d − 2y for y.
1
Correct answers:
1
6d−3
c+2
Exercise 15
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The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in
cubic centimeters) of the cone. The formula for the surface area S of a right cone is S
where r is the radius of the base and l is the slant height. Find the height of the cone.
Height: 1
= πr2 + πrl, cm Correct answers:
1
10.5
Exercise 16
Solve the literal equation |ax + b|
a= 1
= c for a. and a = 2
Correct answers:
1
c−b
x
2
−c−b
x
Exercise 17
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You buy 7 gallons of gasoline at p dollars per gallon and pay $26.88. Write an equation to find the price
of one gallon of gasoline. Then find the price of one gallon of gasoline.
An equation is 1
= 26.88.
The price of one gallon of gasoline is $ 2
.
Correct answers:
1
7p
3.84
2
Exercise 18
You are baking muffins for your class. There are 17 total students in your class and you have baked
5 muffins. Write and solve an equation to find the additional number x of muffins you need to bake in
order to have 2 muffins for each student. Write your equation so that the units on each side of the
equation are muffins per student.
Equation: 1
=2
Number of muffins: x =
2
Correct answers:
1
x+5
17
2
29
Exercise 19
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The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an
absolute value equation that represents the minimum and maximum heights. Use x to represent the
heights.
Equation: 1
Correct answers:
1
|x − 65| = 10
Exercise 20
The formula for the future value V (in dollars) of an investment earning simple interest is V
= p + prt,
where p (in dollars) is the principal, r is the annual interest rate (in decimal form) and t is the time (in
years). a. Solve the formula for p.
p = 1
b. An investment earns 8% simple interest. What amount of principal is needed to
have $6000 after 7 years? Round your answer to the nearest cent.
Amount of principal: $ 2
Correct answers:
1
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V
1+rt
2
3846.15
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