Download Algebra 1 Essentials Chapter 3 Quiz

Algebra 1 Essentials Chapter 3 Mid-Chapter Quiz
Students:
Show all work on a separate sheet of paper. Work must be shown on
multiple choice questions for partial credit to be considered.
Short Answer
REMEMBER, THE GOAL IS TO GET X BY ITSELF!
(1) UNDO ADDITION BY SUBTRACTION
(2) UNDO MULTIPLICATION BY DIVISION
(3) UNDO MULTIPLICATION OF A FRACTION BY MULTIPLYING BY THE RECIPROCAL.
(3) UNDO DIVISION BY MULTIPLICATION
(4) COMBINE LIKE TERMS ON EACH SIDE OF THE EQUATION BEFORE MOVING
ANYTHING TO THE OTHER SIDE OF THE EQUAL SIGN.
Solve the equation.
1.
2.
3. The Fahrenheit and Celsius scales are related by the equation
equal to a body temperature of
. What temperature Celsius is
?
(HINT: YOU KNOW F, AND MUST SOLVE FOR C.)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Solve the equation.
____
____
4. 10x + 2 = 72
a. 4
b. 7
c. 74
d. 70
a. –675
b. 675
c. –75
d. 75
5.
Solve the equation.
____
6.
= 26
a. 14
____
____
____
b. 15
c. 38
d. 37
a. 75
b. –3
c. 3
d. –75
a. 108
b. 12
c. 22
d. 24
a. 9
b. 10
c. 40
d.
7.
= 15
8.
9.
____ 10. If
then x =
(Hint: Don’t forget to distribute the negative 4 to both terms in the parentheses.)
a.
b.
c.
d.
–3
1
–15
5
____ 11. Solve the equation
a.
b.
c.
d.
12
27
8
6
____ 12. Find the perimeter of the square.
Remember that all sides of a square are equal!
a. P = 8 units
b. P = 36 units
c. P = 6 units
d. P = 24 units
Solve the equation.
____ 13.
a.
b.
c.
d.
b. –13
c. 13
d. 17
= –4
____ 14.
a. –17
____ 15. Which of these steps can you use to solve the equation
I. Multiply by .
II. Divide by .
III. Multiply by .
IV. Divide by .
a.
b.
c.
d.
I and IV
III only
I only
II and III
____ 16. Solve
This could also be read as
a.
b.
c.
d.
3
–3
11
–11
____ 17. If
then x =
a.
b.
c.
d.
____ 18. Michelle wants to earn $900 selling 22 knit scarves. She wants to sell each scarf for $4 less than her
competitor. If x is the price charged by her competitor, which equation models the situation?
a.
b.
c.
d.
Problem
19. Swimming Pool The capacity of a small children’s swimming pool is 106 gallons
of water. There are currently 15 gallons of water in the pool. You are filling the pool
with water at a rate of 2 gallons per minute.
CAPACITY OF POOL = CURRENT AMOUNT of WATER + (FILL RATE * TIME)
a. Write an
equation that gives the amount y (in gallons) of water in the pool as a
function of the number x of minutes from now.
b. After how
LESSON
3.2
LESSON
many minutes will the pool be full?
Algebra 1 Essentials Chapter 3 Mid-Chapter Quiz
Answer Section
SHORT ANSWER
1. ANS:
3
PTS: 1
DIF: Level A
REF: A1.03.TestA.Eng.13
TOP: Ch. 3 Test, Level A
KEY: Pre-made Test | equations
BLM: Knowledge NOT: 978-0-618-65612-7
2. ANS:
3
PTS: 1
DIF: Level B
REF: A1.03.TestA.Eng.16
STA: CA AI.4.0
TOP: Ch. 3 Test, Level A
KEY: Pre-made Test | equations
BLM: Comprehension
NOT: 978-0-618-65612-7
3. ANS:
PTS: 1
DIF: Level B
REF: MALG0385
TOP: Lesson 3.2 Solve Two-Step Equations
BLM: Application NOT: 978-0-618-65612-7
STA: CA 7.A.4.1
KEY: degree | Celsius | Fahrenheit
MULTIPLE CHOICE
4. ANS:
STA:
KEY:
NOT:
5. ANS:
STA:
KEY:
NOT:
6. ANS:
STA:
KEY:
7. ANS:
STA:
KEY:
NOT:
8. ANS:
STA:
KEY:
9. ANS:
STA:
KEY:
B
PTS: 1
DIF: Level A
REF:
CA 7.A.4.1 TOP: Lesson 3.2 Solve Two-Step Equations
linear | whole | solve | equation | step-2
BLM:
978-0-618-65612-7
C
PTS: 1
DIF: Level B
REF:
CA 7.A.4.1 TOP: Lesson 3.2 Solve Two-Step Equations
linear | step(2) | solve | fraction | equation
BLM:
978-0-618-65612-7
A
PTS: 1
DIF: Level A
REF:
CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations
linear equations | one-step | solve
BLM: Knowledge NOT:
D
PTS: 1
DIF: Level B
REF:
CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations
linear equations | one-step | solve
BLM: Comprehension
978-0-618-65612-7
D
PTS: 1
DIF: Level A
REF:
CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations
linear equations | one-step | solve
BLM: Knowledge NOT:
A
PTS: 1
DIF: Level A
REF:
CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations
linear equations | one-step | solve
BLM: Knowledge NOT:
MALG0382
Knowledge
MALG0384
Comprehension
MALG0360
978-0-618-65612-7
MALG0369
MALG0362
978-0-618-65612-7
MALG0365
978-0-618-65612-7
10. ANS: D
PTS: 1
TOP: SAT/ACT Chapter Test
BLM: Comprehension
11. ANS: A
PTS: 1
NAT: NCTM 9-12.NOP.1.d
KEY: SAT/ACT | Two-Step Equations
NOT: 978-0-618-65612-7
12. ANS: D
2x = 7x - 15
15 = 5x
x=3
2(3) = 6
6(4) = 24 units
PTS:
13. ANS:
STA:
KEY:
NOT:
14. ANS:
STA:
KEY:
15. ANS:
TOP:
BLM:
16. ANS:
TOP:
BLM:
17. ANS:
NAT:
KEY:
NOT:
18. ANS:
NAT:
TOP:
BLM:
DIF:
KEY:
NOT:
DIF:
STA:
BLM:
Level B
REF: A1.03.EN.ST.05
SAT/ACT | Distributive Property
978-0-618-65612-7
Level B
REF: A1.03.EN.ST.04
CA AI.2.0
TOP: SAT/ACT Chapter Test
Comprehension
1
A
PTS: 1
DIF: Level A
REF: MALG0435
CA 7.A.4.1 TOP: Lesson 3.4 Solve Equations with Variables on Both Sides
solve | integer | linear equations | step(3)
BLM: Comprehension
978-0-618-65612-7
A
PTS: 1
DIF: Level A
REF: MALG0397
CA 7.A.4.1 TOP: Lesson 3.3 Solve Multi-Step Equations
multi-step equations | solve
BLM: Knowledge NOT: 978-0-618-65612-7
D
PTS: 1
DIF: Level A
REF: A1.03.EN.ST.02
SAT/ACT Chapter Test
KEY: SAT/ACT | One-Step Equations
Knowledge NOT: 978-0-618-65612-7
D
PTS: 1
DIF: Level A
REF: A1.03.EN.ST.01
SAT/ACT Chapter Test
KEY: SAT/ACT | Two-Step Equations
Comprehension
NOT: 978-0-618-65612-7
D
PTS: 1
DIF: Level A
REF: A1.03.EN.ST.03
NCTM 9-12.NOP.1.d
STA: CA AI.2.0
TOP: SAT/ACT Chapter Test
SAT/ACT | One-Step Equations
BLM: Comprehension
978-0-618-65612-7
C
PTS: 1
DIF: Level B
REF: MALG0425
NCTM 9-12.PRS.2
STA: CA 6.A.1.1
Lesson 3.3 Solve Multi-Step Equations
KEY: multi-step equations | model
Application NOT: 978-0-618-65612-7
PROBLEM
19. ANS:
(a) 106 = 15 + 2x
(b) The pool will be full in 45.5 minutes, or 45 minutes and 30 seconds
PTS: 1