Midterm Review #1
1. Which equation does not have a solution?
7.
a. 2w + 3 = 3w + 2
b. 2w + 3 = 2w + 5
c. 2w + 3 = 4w + 6
d. 2w + 3 = w + w + 3
2. Which expression represents the phrase “the
quotient of three less than four times a number
8.
n and one more than 7 times the number”?
a.
4(3−𝑛)
7𝑛+1
b.
3−4𝑛
7
c.
4𝑛−3
7𝑛+1
d.
4𝑛−3
+
7𝑛
The perimeter of a rectangle is 24x+30y. If the
width is 4x+5y what is the length?
a. 8x+10y
b. 10x+8y
c. 20x+25y
d. 25x+10
Which statement is true for the function whose
graph is shown?
+1
1
3. For any negative real number x, the statement
−|−𝑥| = −𝑥 is _________________ true
a. Always b. Sometimes c. Never
4. Let a be a negative number. If the product abc
is positive, which statement must be true?
a. bc>0
b. ac>0
c. bc<0
a. The domain is x≥2.
b. The domain is x≤3.
c. The range is y≥0.
d. The range is y≤3.
9. Is the following graph a function?
d. ab<0
2
5. If 𝑦 − 3 = 5 (𝑥 + 1) then x=?
5(𝑦−3)−2
2
22
b. 𝑦 − 5
5(𝑦−3)
c. 2 − 1
5(𝑦+1)+15
d.
2
a.
6. You are taking part in a charity walk and you
have walked 12.5 miles so far. Your goal is to
walk at least 20 miles. Which inequality can be
solved to show how many more miles, m you
will need to meet your goal?
a. 12.5-m<20
b. 12.5+m>20
c. 12.5+m≥20
d. 12.5-m≤20
a. Yes
b. No
10. A line passes through the two points (-6,19) and
(-15,28) What is the y-coordinate of the point at
which the line intersects the y-axis?
a. 13
b. 23 c. 5 d. 57
11. What is the value of x such that the points (x,8)
and (2,-1) lie on a line with slope -3?
a. 1 b. -1 c. -1/3 d. 3
Midterm Review #2
1. Write an equation in slope-intercept form of
the graph.
3) Matt’s heart rate after 10 minutes of exercise is 78
bpm.
4) Matt’s heart rate after 60 minutes of exercise is 0
bpm
6.
8
3
a. 𝑦 = − 𝑥 − 4
8
3
b. 𝑦 = − 8 𝑥 − 4
3
c. 𝑦 = 3 𝑥 − 4
d. 𝑦 = 8 𝑥 − 4
2. At a vacation resort, you water ski for $35 per
hour plus a $20 fee for equipment rental. You
bill came to $125. How many hours did you
water ski?
a. 2.5 hours
b. 3 hours
c. 4.5 hours
d. 3.5 hours
3. What is the solution to the equation
2
(15𝑥
3
− 6) = 8(𝑥 + 1)?
a. -2
b. 2
c. 6
d. 10
1
2
4. What is the value of 3 [(5 − 3) + 4]?
a. 2
b. 8/3
c. 16/3
d. 6
5. The following graph shows Matt's heart rate in
beats per minute (bpm) while exercising. Matt
recorded his heart rate every 10 minutes for
one hour.
What does the y-intercept of the line segment
represent? (2 points)
1) Every 10 minutes matt’s heart rate increases by 18
bpm.
2) Matt’s heart rate before he begins exercising is 60
bpm.
Which table represents a relationship in which y
varies directly with x?
a.
X
-4
-2
4
6
Y
14
7
-7
-14
b.
X
8
2
-4
-0.5
Y
7
28
7
-112
c.
X
-0.2
-2
1
12
Y
30
3
-6
-0.5
d.
X
-5
3
-2
10
Y
-2
1.2
-0.8
4
7. What is the slope of the line with the equation
3x-5y=2?
a. -3/5
b. 1/5
c. 3/5
d. 2/3
8. Which equation below describes the linear
function such that f(-3)=-11 and f(2)=-1?
a. f(x)=x-8
b. f(x)=-2x+3
c. f(x)=3x-10
d. f(x)=2x-5
9. Thomas is driving from oak Ridge to Lakeview, a
distance of 300 miles. He drives at a constant
rate of 66 miles per hour. The equation for the
distance yet to go is 𝑦 = 300 − 66𝑥, where x is
the number of hours since he left. What is the
x-intercept? What does it represent?
a. He drove a distance of 300 miles.
b. He drove at a constant rate of 66 miles
per hour.
c. It took him about 4.5 hours to complete
his drive
d. He drove at a rate of 4.5 per hour
10. Which equation represents direct variation?
1
a. −5𝑥 + 𝑦 = 4
b. − 𝑥 + 𝑦 = 0
c. 𝑦 = 7𝑥 + 7
d. 8𝑥 − 3𝑦 + 6 = 0
6
11. Simplify the expression
−2(𝑚 + 4) − 6(5 − 3𝑚)?
a. 20m+38
b. 20m+38
c. 16m-38
d. -20m+22
Midterm Review #3
1. The length of the base of an isosceles triangle is
one fourth the length of one of its legs. If the
perimeter of the triangle is 16 inches, what is
the length of the base?
7
3 inches
16
2
2 3 inches
a.
c.
b.
d.
7
1
9
1
79
1
2
17
≤ 𝑥 < −2
6
7
3
−3 ≤ 𝑥 < −2
4
1
− ≤𝑥<−
3
2
5
− ≤𝑥<0
6
a. −
d.
5. Which equation represents the vertical line
passing through the point (7,-1)?
a. y=-1
b. x=7
c. y=7
d. x=-1
6. Bill wants to simplify the following expression.
5(3𝑥 − 2𝑦) + 2(𝑥 + 2𝑦) − 3(3𝑥 − 2𝑦)
Which of the following expressions is equivalent to
the expression above?
a. 8x
b. 8x-12y c. 8xy
d. 8x-8y
7. Write an equation of the line containing the
points (-6,19) and (-15,28).
a. –x-y=-13
b. x-y=-13
c. -5x-2y=52
d. -2x-5y=195
8. Which inequality is equivalent to x<1 or x>5?
a. |x+8|-2>10
b. |5x+9|<10
c. 3|6-2x|>12
50
40
20
10
inches
6 < − (12𝑥 + 6) ≤ 11?
c.
60
30
inches
2. The perimeter of a rectangular garden is 860 ft.
The two short sides of the garden are each 30 ft
long. You are asked to find the length of the
other sides. Which equation models this
situation?
a. 30+x=860
b. 2(30)+2x=860
c. 30(x-2)=860
d. 30+2x=860
3. Identify the product that will be negative.
a. (2)(3)(4)(5)
b. (2)(3)(4)(5)
c. (-2)(-3)(-4)(-5)
d. (-2)(-3)(-4)(5)
4. Which inequality is equivalent to
b.
y
70
d. |7-4x|-9<8
9. What is the range of the function in the graph?
0
1
2
3
4
5
6
7 x
a. 5≤y≤35
b. 0≤y≤5
c. 0≤x≤5
d. 5≤x≤35
10. The function 𝑓(𝑥) = 15 + 10(𝑥 − 1)
represents the cost (in dollars) of ordering x tshirts printed with a specialty logo. Which
description best fits the function?
a. The cost includes a $15 fee plus $10 for
each t-shirt.
b. The cost is $10 for each t-shirt.
c. The cost is $15 for the first t-shirt and $10
for each additional t-shirt.
d. The cost is $15 for each t-shirt.
Midterm Review #4
1. The figure below represents a building in the
9. Which pair of lines would be perpendicular
shape of a pentagon. Using the scale 1 inch = 94
when graphed?
feet, what is the perimeter of the building?
a. y=3, x=5
b. y=2x, y=1/2x
c. x=4, y=x
d. y=3, y=x
10. Find the equation of the line that is parallel to
the line in the graph and passes through point
A.
y
10
A
a. 376 ft
b. 470 ft
c. 1880 ft
d. 1504 ft
2. 4𝑥 + 5 > 2(𝑥 − 2). Graph your solution.
a.
–10
–5
0
5
10
–10
–5
0
5
10
–10
–5
0
5
10
–10
10
x
b.
c.
1
d.
a. 𝑦 = 3 𝑥 + 5
–10
–5
0
5
10
3. Find the slope and y-intercept of the line with
the equation –9x+3y=54.
a. m=3; b=18
b. m=18; b=3
c. m=-3; b=-18
d. m=-18; b=-3
4. Use the concept of opposites to simplify
– –[–(+7)].
a. -7 b. 1/7 c. 7 d. -1/7
5. Which problem could be solved using the
inequality 2c≤70?
a. The product of 2 and a number is equal
to 70.
b. Two students split a restaurant bill that
came to $70.
c. Two equal-priced shirts came to at most
$70.
d. Marty earned under $70 for 2 hours of
work.
6. Solve. 13𝑏 − 6 ≤ 14𝑏 + 8
e. b≥2
f. b≥-14 g. b≤14
h. b=2
7. Solve. |4x+2|=3
1
5
1
5
a. 4 , − 4
b. − 4 , − 4
1 3
–10
3
c. − 4 , 4
d. −2, 4
8. Which number is a solution of
|4𝑥 − 1| + 2 = 1?
a. -1/2 b. 0 c. 1 d. No Solution
1
b. 𝑦 = 𝑥 + 7
3
c. 𝑦 = −3𝑥 + 5
d. 𝑦 = −3𝑥 + 7
11. Write an equation of the line that passes
through (-5,-1) and is parallel to the line y=4x-6.
a. y=4x+19
b. y=4x-6
c. y=-5x+19
d. y=-5x-6
12. Which of the following are solutions to the
equation 3|𝑥 − 8| = 132?
a. x=44 and x=-44
b. x=36 and x=-36
c. x=52 and x=-52
d. x=52 and c=-36
1. Which inequality is equivalent to
2(𝑤 − 9) ≤ −4(𝑤 + 5)?
e. w≥-1/3
f. w≤1
g. w≤-1/3
h. w≥-1
Midterm Review #5
1. Solve and graph. −7(4𝑥 − 3) ≤ −7
a.
8.
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
b.
A monthly phone bill, b(m) consists of a $28 service
fee plus $0.13 per minute, m, of long distance calls,
given by the function b(m)=28+0.13m. Draw a graph
for up to and including 120 minutes of long distance
calls made in a month. Estimate the bill if 84 minutes
of long distance calls are made.
a.
c.
d.
b=$20
2.
7.
Which situation is best modeled by the
expression 25-x?
a. George places x more video games on a
shelf with 25 games.
b. Sarah has driven x miles of a 25-mile trip
c. Amelia paid 25 dollars of an x dollar lunch
that she shared with Ariel
d. Jorge has 25 boxes full of x baseball cards
each.
4𝑚−3
3. If
= 3, what is the value of 7𝑚 − 5?
7
a. 6
b. 10.5
c. 37
d. 68.5
4. Three packs of markers cost $9.00 less than 5
packs of markers. Which equation best
represents this situation?
a. 5x+9=3x
b. 3x-9=5x
c. 3x+9=5x
d. 9-3x=5x
5. What value of n makes the equations below
have a solution?
2𝑥 + 2 = 𝑛𝑥 − 3
a. -2
b. 0
c. 2
6. Given the equation 𝑦 + 3 = −(𝑥 − 4). Which
choice below correctly expressed the slope and
the y-intercept of the line?
a. Slope = -1; y-intercept is -3
b. Slope = -1; y-intercept is 3
c. Slope = -1; y-intercept is 1
d. Slope = 1; y-intercept is 1
A shipping service charges $0.43 for the first ounce
and $0.29 for each additional ounce of package
weight. Write an equation to represent the price P of
shipping a package that weighs x ounces, for any
whole number of ounces greater than or equal to 1.
a. P=0.29+0.43(x-1)
b. P=0.29+0.43x
c. P=0.43+0.29(x-1)
d. P=0.43+0.29x
b.
b=$39
c.
b=$29
d.
b=$35
Answer Key # 1
(1) B.
(2) C
(3) C
(4) C
(5) C or a
(6) D
(7) A
(8) D
(9) B
(10)A
(11)A
Answer Key #2
1) a
2) b
3) c
4) b
5) b
6) d
7) c
8) d
9) c
10) b
11) c
Answer Key # 3
1) d
2) b
3) d
4) b
5) b
6) a
7) a
8) c
9) a
10) c
Answer Key #4
1) c
2) c
3) a
4) a
5) c
6) f
7) a
8) d
9) a
10) a
11) a
12) d
13) g
Answer Key # 5
1) a
2) b
3) c
4) c
5) a or b
6) c
7) c
8) b