WorksheetsGRADE 10 DIAGNOSTIC TEST
Total questions: 19
Worksheet time: 1hrs 4mins
Name
Class
Date
1.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
2.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, -1)
d)
(5, 20)
3.
Solve by elimination:
4x+9y=28
-4x-y=-28
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
4.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
5.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
6.
Solve:
2(a + 4) = 2a - 8 + 4a
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
7.
Select the graph for y > -2x - 3
a)
A
b)
B
c)
C
d)
D
8.
Which function is graphed?
a)
f(x) = 2|x + 2| -4
b)
f(x) = 2|x - 4| + 2
c)
f(x) = |x + 2| - 4
d)
f(x) = -2|x - 4|
9.
Solve for x.
2(-x - 4) = 4x + 16
a)
4
b)
3
c)
-3
d)
-4
10.
Solve for F.
S = 3F - 24
a)
F = S/3 + 24
b)
F = (S + 24)/3
c)
F = 3S + 24
d)
F = 3(S + 24)
11.
Simplify.
5x + 7x
a)
2x
b)
12x
c)
-2x
d)
-12x
12.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
13.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
14.
y + y + y =
a)
3y
b)
3 + y
c)
y + 3
d)
y/3
15.
Which of the following inequalities represents the graph?
a)
y≥x−1
b)
y≤x−1
c)
y>x−1
d)
y≤x+1
16.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
e)
17.
Simplify:
9 - 2(-7 + 2) - 12 ÷ 6
a)
17
b)
-37
c)
-3
d)
-11
18.
Find the equation of the line shown
a)
y = 4x - 2
b)
y = -2x + 4
c)
y = 2x + 4
d)
y = -4x - 2
19.
Factor completely:
x² - 121
a)
(x + 11)(x - 11)
b)
(x + 11)(x +11)
c)
(x - 11)(x - 11)
d)
x(x - 121)
100 %
