WorksheetsFoundations of Algebra Preassessment
Total questions: 25
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
12 - 2n
a)
the difference of twelve and twice a number
b)
the sum of twelve and twice a number
c)
the product of two and twelve minus a number
d)
a number less than twelve
2.
Solve for x:
4x + 1 = 7x - 5
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
3.
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
4.
a)
2b2
b)
2b6
c)
6b6
d)
8b6
5.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
6.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
7.
Solve: x2 - 8x + 16 = 16
a)
-8, 8
b)
0, 8
c)
-8, 0
d)
0, 0
8.
Solve for t: S = 7x3t
a)
t = 434x/S
b)
t = S/7x3
c)
t = S/7 - r
d)
t = x3 - 7S
9.
Solve: |5x + 10| ≥ 15
a)
x ≤ -25 or x ≥ 5
b)
x ≤ -1 or x ≥ 1
c)
x ≤ -5 or x ≥ 1
d)
x ≥ -5 or x ≤ 1
10.
For f(x) = 2x + 7, find f(3)
a)
-1
b)
23
c)
13
d)
1
11.
Solve the system:
5x - y = 6
4x - y = 4
5x - y = 6
4x - y = 4
a)
(-2, -4)
b)
(-4, -2)
c)
(2, 4)
d)
(4, 2)
12.
What is the vertex and axis of symmetry of y = -2(x - 3)2 + 2 ?
a)
Vertex (3, 2) A.o.S: x = 3
b)
Vertex (-3, 2) A.o.S: x = -3
c)
Vertex (3, -2) A.o.S: x = 3
d)
Vertex (-3, -2) A.o.S: x = -3
13.
Write an equation in point slope form that goes through the points (-4, 14) (2, -16).
a)
y - 4 = -5(x - 14)
b)
y - 14 = -1/5(x + 4)
c)
y - 4 = -1/5(x + 14)
d)
y - 14 = -5(x + 4)
14.
What is the equation of a line perpendicular to y = 1/4x - 3 and goes through (-2, -1)?
a)
y = -4x - 9
b)
y = -1/4x - 9
c)
y = 4x - 9
d)
y = 1/4x - 9
15.
Factor: 10x2 + 15x
a)
5x(2x + 3)
b)
-5x(2x + 3)
c)
5x(2x - 3)
d)
5(2x + 3)
16.
Factor: 4x2 + 32x + 48
a)
4(x + 6)(x + 2)
b)
4(x - 6)(x - 2)
c)
4(x + 6)(x - 2)
d)
4(x - 6)(x + 2)
17.
Find the solutions: 3x2 + 25x + 42 = 0
a)
-7/3, -1/2
b)
-6, 3
c)
6, -1/2
d)
-6, -7/3
18.
Solve: |3x + 1| = -2
a)
x = -1 & x = 1/3
b)
No Solution
c)
x = -1/3 & x = 1/3
d)
x = -1/3 & x = -3
19.
What is the vertex and Axis of Symmetry for y = -(x + 2)2 + 5
a)
Vertex (-2, 5) A.o.S: x = -2
b)
Vertex (2, 5) A.o.S: x = 2
c)
Vertex (2, -5) A.o.S: x = 2
d)
Vertex (-2, -5) A.o.S: x = -2
20.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
21.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
22.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
23.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
24.
Find the slope of the line.
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
25.
Find the slope of the line through the points (18, 5) and (18, -2).
a)
0
b)
undefined
c)
-1/2
d)
1/2
100 %
