NEW
Font size
WorksheetsFast Track - Absolute Value Equations & Inequalities
Total questions: 20
Worksheet time: 37mins
3 | 2x + 7| + 7 < 4
An extraneous solution is
not a concern when solving absolute value equations
an apparent solution that must be rejected because it does not satisfy the original equation
Solve the inequality 3<5x-2<7
1<x<9/5
x>9/5
-1>x>-9/5
1<x<9
Solve the inequality 7x-3>18 or 3x-2≤-2
x<3 or x≥0
x>3 or x≤0
x>3
x>3 or x≤-3
What is the solution of ∣5x-2∣=7x+14?
x=-1
x=-1, x=-8
x=-8
no solutions
What is the solution of ∣x-2∣=4x+8?
x=-10/3 and x=-6/5
x=-10/3
x=-6/5
no solution
What is the extraneous solution of ∣5x-2∣=7x+14?
x=-1
x=1
x=-8
x=8
-4x + 1 ≤ 21 and 5x + 2 < 22
What is the solution to -1 - 10a < -1 or 10 + 3a < -5 in interval notation?
[-5, 0)
(-5, 0)
(-infinity, -5] U (0, infinity)
(-infinity, -5) U (0, infinity)
What is the solution to -36 < 3p - 6 < -15 in interval notation?
(-10 , -3)
[-10 , -3)
(-infinity, -10) U (-3, infinity)
(-infinity, -10] U (-3, infinity)
There are 10 less trumpet players than saxophone players. The number of saxophone players is 3 times the number of trumpet players. How many trumpet players are there?
15 trumpet players
10 trumpet players
5 trumpet players
20 trumpet players
The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.
12 and 24
31 and 43
24 and 36
51 and 63
The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.
9 in by 12 in
3 in by 14 in
10 in by 11 in
8 in by 13 in
The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.
5 m by 8 m
3 m by 10 m
4 m by 9 m
6 m by 7 m
Convert the equation y= 5x2 - 40x + 67 into vertex form.
y= -5(x + 4)2 + 13
y= 5(x + 4)2 - 13
y=5(x - 4)2 - 13
y= 5(x - 13)2 + 4
