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Integers and Linear Equations
Conversions and Percents
Linear Inequalities
Linear Equations and Inequalities
Systems of Equations
100
What is -2 + 10 - 4?
What is 4?
100
Convert 6.5 feet into inches.
What is 78 inches?
100
Solve the inequality 3x + 5 > -1.
What is x > -2?
100
What is the slope of a horizontal line? What is the slope of a vertical line?
What is zero and undefined?
100
Is (-2, 3) a solution to the system: y = 3x + 8 ? 2x - y = 10
What is No?
200
What is 3/4 + 5/7?
What is 1 13/28?
200
Convert 135 seconds to minutes.
What is 2.25 minutes?
200
Write an inequality to represent the verbal expression. Then solve. "Four less than three times a number is no more than 20."
What is 3x - 4 < 20, and x < 8?
200
What is the slope of the line through (-1, 0) and (3, -2)?
What is -1/2?
200
Solve the system of equations: -4x + 7y = 9 y = -3x + 12
What is (3,3)?
300
Solve the linear equation y/2 + 5 = 8.
What is 6?
300
What percent of 84 is 105?
What is 125%?
300
Solve the compound inequality -3 < z - 1 < 3. Write your answer in interval notation.
What is -2 < z < 4 and (-2, 4)?
300
Write the equation in slope-intercept form of the graph that passes through (2,1) and (5, -8).
What is y = -3x + 7?
300
Solve the system of equations: y = -1/3x 3x + 3y = -18
What is (-9, 3)?
400
What is the solution of 12 = 2x + 4/3 - 2x/3?
What is 8?
400
A gardener expects that 75% of the seeds she plants will produce plants. She wants 45 plants. How many seeds should she plant?
What is 60 seeds?
400
Solve the absolute value inequality |x - 7| > 3.
What is x > 10 and x < 4?
400
What are the x and y-intercepts of the line x - 2y = -2?
What is x-intercept= (-2, 0) and y-intercept = (0, 1)?
400
Solve the system of equations 3x + 2y = 41 5x - 3y = 24
What is (9, 7)?
500
Solve 3(h - 4) = -1/2(24 - 6h).
What is infinitely many solutions?
500
Marcus bought a shirt that was marked $28, but it was on sale for 15% off the marked price. When he went to purchase his discounted shirt, there was a sales tax of 6.25%. What is the total price of his shirt?
What is $25.29?
500
Explain the difference between an equation and an inequality. Describe both the set up and the solutions. Provide an example to justify your answer.
An equation includes an equal sign where both sides are equivalent whereas an inequality includes an inequality symbol where one side is not necessarily equal to the other side. In regards to the solution set, an equation has one and only one solution; an inequality has multiple options for solutions.
500
Write the equation of the line that is parallel and perpendicular to the equation y = 2/3x - 1 and passes through the point (12, 5).
What is parallel line is y = 2/3x - 3 and perpendicular is y = -3/2x + 33?
500
A fashion designer makes and sells hats. The material for each hat costs $5.50. The hats sell for $12.50 each. The designer spends $1400 on advertising. How many hats must the designer sell to break even?
What is 200 hats?