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WorksheetsChapter 1 (Linear/Absolute Value Functions, Factoring Review)
Total questions: 44
Worksheet time: 2hrs 16mins
Name
Class
Date
1.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
2.
What is the y-intercept in the equation?
y = 5x - 4
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
3.
Find the equation of the line in slope-intercept form.
a)
y = - 1/4x - 3
b)
y = 1/3x + 3
c)
y = - 1/4x + 2
d)
y = 1/3x -3
4.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
5.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
6.
Find the slope between the points
(8, 5) and (-9, 5)
(8, 5) and (-9, 5)
a)
Zero
b)
Undefined
c)
-10/17
d)
-10/1
7.
Solve for y
8x + 2y = -10
8x + 2y = -10
a)
y = -8x + 5
b)
y = -4x - 5
c)
y = -1/4 x - 10
d)
y = -1/4 x - 5
8.
Write equation of the line containing (4,2) and (3,5)
(hint: plot points on a graph)
(hint: plot points on a graph)
a)
y = -3x + 14
b)
y = 3x + - 4
c)
y = -3x - 4
d)
y = -3x + 10
9.
Solve using substitution.
x - 2y = 2
3x + 4y = 3
x - 2y = 2
3x + 4y = 3
a)
(1.4, -0.3)
b)
(3.1, 5)
c)
(-2.5, 3.5)
d)
(6.9, 1.02)
10.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
11.
Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19
3x + 2y = 16
y = -7x + 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
12.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
y = -x + 5
y = 2x - 7
a)
yes
b)
no
13.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8
-x + y = -13
-8x - 4y = -8
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
14.
What is the solution to the system?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
15.
Write an equation of the line that passes through (3,1) and is parallel to the line y = 3x + 1.
a)
y = -3x + 1
b)
y = 3x - 8
c)
y = -1/3x -8
d)
y = 3x + 4
16.
What is the equation of the linear function?
a)
y = -3x + 10
b)
y = -3x + 16
c)
y = 3x + 10
d)
y = 3x + 16
17.
Write the equation in slope-intercept form (solve for y):
2y + 4x = 12
2y + 4x = 12
a)
y = 12 - 4x
b)
y = 6 - 4x
c)
y = -2x + 6
d)
y = -2x + 4
18.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
19.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
20.
What is the equation of the graph below?
a)
f(x ) = I x + 4 I + 2
b)
f(x ) = -I x - 4 I + 2
c)
f(x ) = I x - 4 I + 2
d)
f(x ) = -I x + 4 I + 2
21.
Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5
y = I x + 2 I - 5
a)
Left 2 up 5
b)
Right 2 up 5
c)
Left 2 down 5
d)
Right 2 down 5
22.
What is the vertex of the following function?
y=2|x-3|+1
y=2|x-3|+1
a)
(2,3)
b)
(-3,1)
c)
(2,-3)
d)
(3,1)
23.
What is the equation of this graph?
a)
y=2|x-3|+1
b)
y=2|x-1|+3
c)
y=-2|x-1|-3
d)
y=-2|x-1|+3
24.
Which function shows horizontal translation and a vertical stretch?
a)
f(x) = -2|-x |
b)
f(x) = -3|x| - 7
c)
f(x) = -|-x + 1| + 4
d)
f(x) = 5|x - 4| - 1
25.
Describe the transformations of the absolute value equation.
a)
Flips to A shape, compresses wider, shifts right 1 unit
b)
Flips to A shape, compresses wider, shifts up 1 unit
c)
Flips to A shape, stretches more narrow, shifts right 1 unit
d)
Flips to A shape, stretches more narrow, shifts up 1 unit
26.
Factor
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
27.
Factor
2x2 - 13x - 70
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
28.
Factor
5x2-28x+32
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
29.
Factor
4n2-17n-15
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
30.
Factor
9x2-6x-8
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
31.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
32.
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Prime
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
33.
Factor:
x2 + 81
x2 + 81
a)
Prime (not factorable)
b)
( x - 9 ) ( x + 9 )
c)
( x + 9 ) ( x + 9 )
d)
( x - 9 ) ( x - 9 )
34.
Which of the following trinomials is a perfect square trinomial?
a)
r2 - 6r + 36
b)
4y2 + 10y + 25
c)
x2 + 16x + 16
d)
9a2 - 12a + 4
35.
There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
2d + 4c = 50
36.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
37.
Write the standard form equation that passes through (0, -1) and (-6, -9)
a)
-4x +3y = -4
b)
-4x +3y = -3
c)
-4x +3y = 5
d)
-4x +3y = 10
38.
Write the slope intercept form of the equation 3x - 2y = -16
a)
y = -3x - 8
b)
y = -3x + 8
c)
y = -3/2x - 8
d)
y = 3/2 x + 8
39.
Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
a)
20x + 15 = y
b)
35x = y
c)
15x + 20y = 150
d)
150 - 20x = 15y
40.
Write the standard form of the equation for the graph of this line.
a)
4x + 4y = -1
b)
4x + 4y = 1
c)
x/4 + y/4 = 1
d)
x + y = -4
41.
solve for m
a)
-3/4
b)
9
c)
-11/6
d)
-20/3
42.
Solve the following for d: 0.5(2d-6)=0.2(4x-10)
a)
-5
b)
5
c)
0.5
d)
-10
43.
From the equation y = 3x + 18, what is the value of the x-intercept?
a)
-6
b)
6
c)
18
d)
3
44.
What is the y-intercept?
a)
12
b)
-3
c)
8
d)
0
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