Download Intro to Algebra 1

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Midterm Review
Algebra 1
N-RN.3, A-SSE.1a, A-SSE.1b
1. What is the sum of 5 3 and 7 3 ? Is the
sum rational or irrational?
a. 12 3 ; irrational
b. 12 3 ; rational
c. 36 ; rational
d. 36 ; irrational
3. At the museum, a child pays c dollars for a
ticket and an adult pays g dollars. Explain
in words the meaning of g  3c .
a. An adult ticket costs a third as much
as a child ticket.
b. Three times as many child tickets as
adult tickets are sold.
c. Three times as many adults as
children go to the zoo.
d. An adult ticket costs three times as
3
7
and
? Is the
5
9
product rational or irrational?
2. What is the product of
a.
5
; irrational
7
b.
7
; irrational
15
5
c.
; rational
7
d.
7
; rational
15
much as a child ticket
4. At the baseball game, the number of people
entering through Gate A is 3( x  2) and the
number of people entering through Gate B
is 4x  6 , where x  0 . Compare the
number of people using Gate A with those
using Gate B.
a. More people entered through Gate A
than through Gate B.
b. Fewer people entered through Gate
A than through Gate B.
c. More information is needed to make
a comparison.
d. The number of people entering
through Gate A was the same as
through Gate B.
5. Marcy writes 2 letters a month for m
months in a row. Write an expression to
8. Which problem could be solved using the
inequality 2a  68 ?
show how many letters Marcy writes in all.
Then, find the number of letters Marcy
a. Marty earned more than $68 for 2
writes if she writes for 4 months.
hours work
b. Sean bought 2 shirts and the total
a. 2  m ; 6 letters
b. 2  m ; -2 letters
was at least $68
c. You and a friend split the check at a
c. 2m ; 8 letters
d.
2
; 0.5 letters
m
A-CED.1, A-CED.2, A-CED.3
6. A parking lot holds 42 cars. There are 26
cars in the lot already. Which inequality
can be solved to show all the numbers of
cars c that can still park in the lot?
A. 26  c  42
B. 26  c  42
C. 26  42  c
D. 26  42  c
restaurant that was $68
d. Juan bought 2 tickets to a concert
for less than $68
9. Which problem could be solved using the
inequality 9x  45 ?
a. Jane earned at least $45 for 9 hours
work
b. Sophia bought 9 gift cards for $45
c. 9 friends went to dinner and the bill
could be at most $45.
d. The product of 9 and a number is less
than or equal to 45
7. A printer holds 500 sheets of paper.
When you are done printing there are 210
10. A campsite charges $12 per day for the site
sheets remaining in the printer. Which
rental and a flat rate of $8 for parking.
equation can be used to find how many
Which equation represents the total
sheets were printed ?
campsite charges, C, for, d, days?
A. s  500  210
B. 210  500  s
C. 210  500  s
D. 500  s  210
a.
b.
c.
d.
12C  8  d
8C 12  d
12d  8  C
8d 12  C
11. Rosita is hired as an intern at a law office.
14.
What is the value of x?
She gets $100 up front and makes $15 per
6x - 4 = 2(x + 3)
hour. If h represents the number of hours
she works and T represents the total
A. x =
amount of money she will make. Which
equation correctly represents the situation?
5
2
B. x = 
5
2
C. x = 
2
5
a. T  (100  15)h
b. T  100 15h
c. h  100T 15
d. h  100 15T
D. x =
2
5
12. Susie’s salary is twice Mary’s and Joe’s is $50
less than Mary’s. The sum of their salary’s is
$750 per week. How much does Mary make?
A. $175 per week
B. $266.67 per week
C. $200 per week
15.
What is the value of x?
-2x + 3 = 3x - 2
A. x = 1
D. $400 per week
B. x = 1
13.
What is the value of x?
15 + 2x – 5 = 18
C. x = 5
A. x = -1
B. x = 1
C. x = 4
D. x = -4
D. x = 5
16.
The formula for the area of a
A-REI.1, A-REI.3, A-CED.4
rectangle is A = ℓw. Find
a formula for w in terms of A and ℓ.
18. Susie is solving an equation. She
shows her work below.
A. w  A - ℓ
B. w  A ℓ
ℓ
C. w 
A
A
D. w 
ℓ
17.
The formula for the area of a triangle
1
bh . Find a formula for h in
2
terms of A and b.
is A 
A. h 
A
2b
B. h 
2A
b
C. h 
2b
A
b
D. h 
2A
5x – (11 + 3x) = 5
5x – 11 - 3x = 5
2x - 11 = 5
2x = 16
x=8
What did Susie do to the equation
5x – 11 – 3x =5 to get 2x – 11 = 5 ?
A. add 11 to both sides
B. Subtract 3x from both sides
C. Combine like terms 5x and -3x
D. Distributed -1
19. Is the equation 3 + 2(4x – 5) = 12
equivalent to 20x – 25 = 12 ?
A. Yes, the equations are equivalent by the
Associative Property of Multiplication
B. Yes, the equations are equivalent by the
Distributive Property of Multiplication over
Addition.
C. Yes, the equations are equivalent by the
Commutative Property of Multiplication.
D. No, the equations are not equivalent.