Algebraic Equations Quiz Review Solutions

University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2020
Views:

485

Pages:

1
Author:

StellarSymphony

Algebraic Equations Quiz Review 1. What's the difference between an algebraic expression and an algebraic equation? Algebraic expressions are made with constants and variables, for example, 2n, 3x, etc. They can be evaluated by substituting any number in place of the variable. Algebraic equations have an equal sign, which means the variable could only be one number. 2. Write an algebraic equation for each sentence: a. Eight more than a number is 34. (n + 8 = 34) b. The product of 4 and a number is 36. (4n = 36) c. The sum of a number and 9 is 13. (n + 9 = 13) d. A number divided by six then decreased by 5 is 45. (n/6 - 5 = 45) 3. Solve the following One-Step Equations using balancing method (Show all your steps): a. x + 5 = 15 (x = 10) b. y - 15 = 25 (y = 40) c. y/7 = 21 (y = 147) d. y/6 = 72 (y = 432) e. 6x = 42 (x = 7) f. 72 = 24x (x = 3) 4. Solve the following Two-Step Equations using balancing method (Show all your steps): a. 3p + 2 = 22 (p = 6.67) b. 2x - 5 = 11 (x = 8) c. 27 = 4m + 7 (m = 5) d. 17 = 4x - 7 (x = 6) e. b/9 - 12 = 8 (b = 180) f. x/7 + 5 = 10 (x = 35) 5. For the following problems, choose a variable, write an equation for the situation, and use algebra to solve the equation. a. A cycle shop rents bicycles for an $18 flat fee plus $3 per hour. Nino paid $39. For how long did Nino rent the bicycle? (Solution: 7 hours) b. Alli spent half of her allowance going to the movies. She washed the family car and earned $7. What is her weekly allowance if she ended up with $16? (Solution: $18)