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Quarter 3 Retake Test Math 1

Total questions: 30

Worksheet time: 6hrs 53mins

Name
Class
Date
1.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
2.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Which equation could you use to see the charge?

a)

y = 15x + 3

b)

y = 3x + 15

c)

y = 15 - 3x

d)

y = 3x - 15

3.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

4.

Solve for p
SA =hp + 2BSA\ =hp\ +\ 2B

a)

SA2Bh=p\frac{SA-2B}{h}=p

b)

SAh2B=p\frac{SA}{h}-2B=p

c)

SAh2B=p\frac{SA-h}{2B}=p

d)

SA2Bh=pSA-2B-h=p

5.

Solve for h
V = lwhV\ =\ lwh

a)

V lw = hV\ -l-w\ =\ h

b)

Vlw = hV-lw\ =\ h

c)

Vlw= h\frac{V}{lw}=\ h

d)

Vlw=hV-\frac{l}{w}=h

6.
Write an expression. 
Anita needs at least an 90 grade (g) on her test to get an A in math class.
a)
g ≤ 90
b)
g ≥ 90
c)
g < 90
d)
g > 90
7.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50
8.

You can spend no more than 20 dollars on your best friend's present.

a)

x > 20

b)

x < 20

c)

x ≤ 20

d)

x ≥ 20

9.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
10.
Twice a certain number, increased by 5, is less than three times the same number.
a)
2x + 5 > 3x
b)
2x + 5 < 3x
c)
2x + 5 ≤ 3x
d)
2x + 5 ≥ 3x
11.
IR = V
(solve for R) 
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
12.
Solve:
y = mx + b , for b
a)
y - mx = b
b)
y + mx = b
c)
y/mx = b
d)
y + mx = -b
13.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

14.

How is AB written in the distance formula?

a)


d = (53)2 + (02)2d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}

b)

d = (25)2 + (3 0)2d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}

c)

d = (53)2 (02)2d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}

d)

d = (43)2 (24)2d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}

15.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
16.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
17.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
18.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
19.

Find the midpoint:

a)

(32,52)\left(-\frac{3}{2},-\frac{5}{2}\right)

b)

(1,3)\left(-1,-3\right)

c)

(12,52)\left(-\frac{1}{2},-\frac{5}{2}\right)

d)

(3,1)\left(-3,-1\right)

20.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
21.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
22.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
23.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
24.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
25.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
26.
Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
27.

What is the equation of the line that is parallel to the blue line and passes through the point (7,2)?

a)

x=7

b)

x=2

c)

y=7

d)

y=2

28.

What is the solution to the system

a)

This system has no solutions

b)

(1,2)

c)

(2,1)

d)

Infinitely many solutions

29.
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 
a)
y = 6.80 + .65x
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
30.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 
a)
y = 9.65 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58