Math: Expressions and Equations Worksheet

Question 1

Write an algebraic expression for the phrase: 7 more than a number n.

Accepted Answer

The algebraic expression is n + 7. The words 7 more than mean to add 7 to the number n.

Question 2

Write an algebraic expression for the phrase: 4 times the sum of x and 3.

Accepted Answer

The algebraic expression is 4(x + 3). First add x and 3, then multiply the result by 4.

Question 3

Simplify: 5a + 3a.

Accepted Answer

The simplified expression is 8a. You add the coefficients because both terms have the same variable a.

Question 4

Simplify: 12y - 5y + 2.

Accepted Answer

The simplified expression is 7y + 2. Combine the like terms 12y and -5y to get 7y, and keep the constant 2.

Question 5

Evaluate 3m + 4 when m = 6.

Accepted Answer

The value is 22. Substitute 6 for m to get 3(6) + 4 = 18 + 4 = 22.

Question 6

Evaluate 2x - 7 when x = 9.

Accepted Answer

The value is 11. Substitute 9 for x to get 2(9) - 7 = 18 - 7 = 11.

Question 7

Solve the equation: x + 8 = 15.

Accepted Answer

The solution is x = 7. Subtract 8 from both sides of the equation to isolate x.

Question 8

Solve the equation: n - 6 = 13.

Accepted Answer

The solution is n = 19. Add 6 to both sides of the equation to isolate n.

Question 9

Solve the equation: 5p = 35.

Accepted Answer

The solution is p = 7. Divide both sides of the equation by 5 to find the value of p.

Question 10

Solve the equation: k/4 = 9.

Accepted Answer

The solution is k = 36. Multiply both sides of the equation by 4 to isolate k.

Question 11

Solve the equation: 2x + 3 = 17.

Accepted Answer

The solution is x = 7. Subtract 3 from both sides to get 2x = 14, then divide both sides by 2.

Question 12

Solve the equation: 3y - 5 = 16.

Accepted Answer

The solution is y = 7. Add 5 to both sides to get 3y = 21, then divide both sides by 3.

Question 13

A school sells notebooks for n dollars each. Write an expression for the total cost of 6 notebooks.

Accepted Answer

The expression is 6n. Since each notebook costs n dollars, multiply n by 6 for 6 notebooks.

Question 14

A rectangle has length x and width 5. Write an expression for its perimeter.

Accepted Answer

The expression for the perimeter is 2x + 10. A rectangle has two lengths and two widths, so the perimeter is 2x + 2(5).

Question 15

The sum of a number and 12 is 20. Write and solve an equation.

Accepted Answer

One correct equation is x + 12 = 20, and the solution is x = 8. Subtract 12 from both sides to solve the equation.

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