Study Guide for Unit 3 Test
1. Evaluate 6h + 2 for h = 1.
2. Find the missing value in the table.
a / 9 / 10 / 11a - 5 / 4
3. The area of a rectangular deck can be represented by l x w, where l is the
length and w is the width. What is the area of the deck if l = 15 ft and
w = 10 ft. ?
4. Reda needs r colored pencils in addition to the ten pencils she already has.
Write an expression to show the number of pencils Reda needs.
5. Write an algebraic expression for the phrase “12 divided by r” ?
6. Write a numerical expression for “27 plus 14”.
7. The top row of this table contains even numbers; the bottom row contains odd
numbers. Write an algebraic expression for the table.
t / 2 / 4 / 6 / 8? / 1 / 3 / 5 / 7
8. What is the value of 2³ + 8 ÷ 4 x 2 + 3?
9. What is the value of 4(8 – 4) ÷ 2?
10. Write a numerical expression for 8 x 8 x 8 using an exponent (exponential
form).
11. What is the value of 4³?
12. Stan evaluated the expression 12y + 8 when y = 4. His answer was 11 and
was incorrect. Predict what he may have done wrong to get that answer.
13. What is 5 x 5 x 5 x 5 written in exponential form?
14. Expand the expression. 9⁴ (expanded form)
15. Evaluate the expression 100 ÷ (4 + 1)², then explain how you used the order
of operations to evaluate the expression.
16. Write an algebraic expression to represent “8 less than four times a number.”
17. Discuss two ways to show a product in an algebraic expression. (Remember
algebraic has a variable.)
18. A clown made 3 times as many balloon hats as balloon dogs. He made 4
more balloon dogs than balloon swords. Write an algebraic expression for
number of balloon hats the clown made.
19. Evaluate 32b – 3c – 5 for b = ⅝ and c = 4.
20. What is the area of the triangle? (A= ½bh, so
45 cm substitute in the expression ½bh.)
36 cm
27 cm
21. Evaluate the expression 7.8 + 3.5w – 1.5 for w= 6.8.
22. Write an expression equivalent to y + y + y + y + y.
23. Write an expression equivalent to 2y2 + 4x2. (Use distributive property.)
24. Write an expression equivalent to 40a – 24b, factoring out the GCF and using
distributive property.
25. Are these equivalent expressions? 4(x + 8) and 4x + 18 + 14.
(Remember you can check it to see by substituting the same number in for x
in each expression.)
26. Write an equivalent expression for p x p x p x p.
27. Write an equivalent expression using distributive property for this expression.
8(6y - ⅝)
28. Use the GCF to write an equivalent expression for the expression.
( Remember the GCF will go on the outside of the parentheses and we will
use distributive property.)
10c – 15
29. One bookshelf is 4.1a + 3b inches long. Another shelf is 5 times as long.
Write an expression you could use to show the length of the longer shelf.
30. Which expression is equivalent to 6(4 + x)?
A. 10 + x
B. 24 + 6x
C. 10 + 6x
D. 24 + x