Transcript Algebra

Algebra
Practice Problems for Review
#1
Evaluate 4r – 22 if r = 20
A. -2
B. 2
C. 58
D. 398
#2
Chale bought some packages of pens. He
bought one package containing 5 pens
and n packages containing 2 pens each.
Which of the following expressions could
be used to find the total number of pens
that Chale bought?
A. 7n
C. 5n + 2
B. 10n
D. 2n + 5
#3
Which expression has the same value as
6(-6 + 3) + (-3)?
A. 6(3) + (-3)
B. 6(-3) + (-3)
C. 6(-6) + 3 + (-3)
D. 6(-6) + 6(3) + 6(-3)
#4
Betty is making pizza using pepperoni,
mushrooms, and black olives. She uses 3
fewer pieces of pepperoni than black
olives and 3 times as many black olives as
mushrooms. She uses 16 mushrooms on
the pizza. How many pieces of pepperoni
will she use?
A. 16
C. 45
B. 25
D. 48
#5
Which is the value of x in the equation?
2x – 5 = 31
A. 36
B. 26
C. 18
D. 13
#6
5
If y = , what happens to y as x increases?
x
A. y increases
B. y decreases
C. y remains the same
D. Not enough information is given
#7
Which mathematical expression means 7
more than the product of 3 and x?
A. 3 + x + 7
1
B. 3 
3
C. 7x + 3
D. 3x + 7
#8
George is making hamburgers. The amount
1
of meat needed for each hamburger is 3 lb.
Which expression shows how many
hamburgers George can make from n pounds
of meat?
1
A. n
3
1
B. n 
3
1
C. n +
3
1
D. n 3
#9
Which number belongs in the box to make
the number sentence true?
8(□ - 3) = 16
A. 11
B. 5
C. 2
D. -5
#10
Edwina bought a book for $13. She now
has $47. How much money did Edwina
have before she bought the book?
A. $21
B. $34
C. $60
D. $73
#11
The cost of the field trip bus is to be
shared equally by all 25 students on the
bus. If the bus costs $57.50, how much
does each student have to pay?
A. $2.29
B. $2.30
C. $2.31
D. $2.32
#12
3
5
7
24
h- = h7
7
3
7
Which operation described below would eliminate the
fractions in the equation shown?
A. multiply each term by 14
B. divide each term by 21
C. multiply each term by 21
D. divide each term by 14
#13
Given the equation y = 2x + 3, how does
changing the value of x, affect the value of y?
A. As x increases by 1, y doubles
B. As x increases by 1, y increases by three
C. As x increases by 1, y increases by two
D. As x increases by 1, y doubles and
increases by three
#14
What type of graph has direct variation?
A. linear
B. quadratic
C. decay
D. cubic
#15
In what quadrant would the point (3, -2) be
plotted?
A. quadrant I
B. quadrant II
C. quadrant III
D. quadrant IV
#16
 Which equation
corresponds to the
given table of
values?
A. y = -x +1
B. y = 2x + 14
C. y = -0.5x + 3
D. y = -0.5x + 1.5
X
Y
-5
4
-3
3
-2
2.5
3
0
5
-1
#17
If a point had a negative x coordinate and
a negative y coordinate, what quadrant
would it be located in?
A. quadrant I
B. quadrant II
C. quadrant III
D. quadrant IV
#18
Sally biked at a constant rate of 3 miles
per hour. If Sally were to graph her bike
ride, what characteristics would the line on
her graph have?
A. up and to the left
B. up and to the right
C. down and to the left
D. down and to the right
#19
For every dollar Oscar earns, he saves
$0.12. Oscar has saved $41.40. How
much has Oscar earned?
A. $41.28
B. $41.52
C. $345.00
D. $4,968.00
#20
Which expression BEST represents the
phrase?
Three times a number plus seven
A. 3(7) – x
B. 3(x) + 7
C. 3(x) – 7
D. 3(7) + x
#21
Chris starts with x dollars in his bank account.
He withdraws half of the amount and then
deposits 3 times the original amount back into
his account. Finally he withdraws half of the
money in the account. Which expression
represents the amount of money that is
currently in his account?
A. 3.5x
C. 3.5x ÷ 2
B. 4.5x
D. 4.5x ÷ 2
#22
Each day a town received (2x + 1) inches
of rain. How much rain did the town
receive in 4 days?
A. (6x + 1) inches
B. (6x + 5) inches
C. (8x + 1) inches
D. (8x + 4) inches
#24
Apples cost 3x. Oranges cost (x + 6).
Which expression represents the cost to
buy one apple and five oranges?
A. 8x + 6
B. 8x + 30
C. 4x + 11
D. 4x + 30
#25
Clare has 5(2 + x) dollars. She wants to
buy 3 shirts. Each shirt costs (x + 8)
dollars. Which expression represents how
much money Clare will have left after
buying the shirts?
A. 2x – 14
B. 2x + 2
C. 4x + 2
D. 2x + 34
#26
Bethany’s family can eat (13h – 6) hotdogs.
Clark’s family can eat (10h + 3) hotdogs.
Which expression shows the difference
between the number of hotdogs Bethany’s
family can eat and the number of hotdogs
Clark’s family can eat?
A. 3h – 9
C. -3h + 9
B. 3h – 3
D. -3h + 3
#27
17
- 27
x
Which phrase BEST represents the expression?
A. subtract twenty-seven from the quotient of
seventeen and a number
B. subtract the quotient of seventeen and a number
from twenty-seven
C. divide seventeen minus twenty-seven by a number
D. divide seventeen by a number minus twenty-seven
#28
What is the value of
(5x + 2y + 19) + (9y + 7x – 10)?
A. 26xy
B. 23xy + 9
C. 14x + 9y + 9
D. 12x + 11y + 9
#29
Leah and Zack earned (d) dollars an hour
for each hour they worked. Leah worked
29 hours. Zack worked 36 hours. Which
expression represents the combined
amount of money Leah and Zach earned?
A. 7d
C. 7 + d
B. 65d
D. 65 + d
#30
2
3
d3
4
 Which phrase BEST represents the expression?
A. subtract two thirds of a number from three fourths
B. two thirds of a number minus three fourths
C. the quotient of two thirds of a number minus three
fourths
D. the product of two thirds of a number plus three
fourths
#31
Two consecutive, even integers sum to 98.
Find the smaller number.
A. 46
B. 48
C. 50
D. 52
#32
The sides of a triangle measure x + 2, x + 5,
and x + 7, respectively. If the perimeter is 47
inches, what is the length of the largest side?
A. 11 inches
B. 13 inches
C. 16 inches
D. 18 inches
#33
Solve for x.
5x + 39.3 = 64.8
A. 4.8
B. 5
C. 5.1
D. 20.82
#34
If the line containing the points in the
chart is plotted on a coordinate plane,
what should the graph look like?
#35
Last season, Ellen and Janet together won
32 tennis matches. Ellen won 6 more
matches than Janet. How many matches
did Ellen win?
A. 13
B. 16
C. 19
D. 25