Solving Equations and Simplifying Expressions
Terminology
Solving Inequalities
Word Problems
Challenge Questions
100
Solve 2x + 4 = 12
What is x = 4?
100
20:30 = 2:3
What is a reduced ratio? or reduced fraction or proportion?
100
Solve: - 4 < 2x < 10
What is - 2 < x < 5?
100
Joe drove 550 miles in 10 hours. Calculate his average speed in miles per hour.
What is 55 miles per hour?
100
Find the sum of 1 + 2 + 3+...+10
What is 55?
200
Solve 9x + 4 = 7x - 2
What is x = - 3?
200
y = mx + b
What is a linear equation? or The Slope-Intercept form of a linear equation?
200
14x + 4 > 6x - 8
What is x > - 3/2?
200
Find the ration of 8 dimes to 5 quarters.
What is 16 to 25?
200
Solve: 3(4z - 1) -2(z + 2) = 2(z + 1)
What is 9/8?
300
Simplify - 4a + 3b + 9a -15b
What is 5a - 12b?
300
PB = A
What is the percent equation?
300
Solve: 5 - 3x < 7x - 5
What is x > 1?
300
84 is 7% of this number.
What is 1200?
300
There is a patch of lily pads on a lake. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?
What is 47 days?
400
Combine like terms: 16x2y - 3xy2 + 5xy - 2x2y + 4xy2
What is 14x2y + xy2 + 5xy?
400
(- infinity, 10) instead of x < 10
What is interval notation?
400
Solve: - 8 < 2x -4 < 16
What is - 2 < x < 10?
400
The left and right page numbers of an open book are two consecutive numbers whose sum is 137. Find the page numbers.
What are 68 and 69?
400
One angle of a triangle is three times as large as the smallest angle. The measure of the 3rd angle is 40 degrees more than the measure of the smallest angle. Find the measure of the smallest angle.
What is 28 degrees?
500
Solve the system of linear equations:
4x + 3y = 50 and y = 2x
What is (5, 10)?
500
a < x < b
What is a compound inequality?
500
Give the solution that is represented by the following graph.
What is x < -1 or x > 2?
500
Twice a number decreased by 41 is equal to 77. Find the number.
What is 59?
500
Solve: (x + 2)/2 = 15/7
What is 16/7?