How to find the solution to an equation

Practice Questions

ACT Math › How to find the solution to an equation

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1

If the expression x4 + 3cx 2 is equal to 5 when x = **–**1, what is the value of c?

2

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

3

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?

4

The population of a bird species is modeled by the following equation:

,

where represents the number of years from the present. How many years will it take the population to reach 130 birds (rounded to the nearest tenth)?

5

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?

6

Three consecutive positive numbers have the sum of 15. What is the product of these numbers?

7

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

8

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

9

Translate into an algebraic expression:

One third of the difference of a number and 3 equals five times the number.

10

The Teddy Bear Parade makes teddy bears. Their monthly fixed costs are $550. It costs $25 to make each bear and they sell for $50 each.

To make a profit of $750, how many teddy bears must be sold?

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