How to find the solution to an equation

Practice Questions

GRE Quantitative Reasoning › How to find the solution to an equation

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1

Give the lines y = 0.5x+3 and y=3x-2. What is the y value of the point of intersection?

2

Pets Plus makes bird houses. Their monthly fixed expenses are $750. The cost for each bird house is $15. The bird houses sell for $40.

If Pets Plus sells 50 bird houses, what is the profit?

3

Three consecutive even numbers add to 42. What is the middle number?

4

If 5 + x is 5 more than 5,what is the value of 2_x_?

5

Two cars start 25 mile apart and drive away from each other in opposite directions at speeds of 50 and 70 miles per hour. In approximately how many minutes will they be 400 miles apart?

6

If a line has an equation of 2y=3x+3, what is the slope of a line that is perpendicular to the line?

7

Ben is walking three dogs that weigh an average of 75 pounds each. Ben begins to walk a fourth dog, and the average weight of the dogs decreases to 70 pounds. What is the weight in pounds of the fourth dog?

8

Kim is twice as old as Claire. Nick is 3 years older than Claire. Kim is 6 years older than Emily. Their ages combined equal 81. How old is Nick?

9

Solve for z:

3(z + 4)3 – 7 = 17

10

The Widget Company makes widgets. The monthly fixed costs are $750. It costs $45 to make each widget. The widgets sells for $75 a piece.

The Widget Company wants to make a profit of $3,000. How many widgets must be sold?

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