Name ________________________________________________
Ch. 6 Study Guide
1. Assume that the shape in part (a) is a parallelogram. Find the area and perimeter of each
shape. Show all of your work.
a.
b.
Area: __________________
Area: __________________
Perimeter: ______________
Perimeter: ______________
2. Use the algebra tiles to answer the questions below.
a. Find the perimeter of the figure.
b. Find the area of the figure.
c. If the algebra tiles were rearranged, how would the area change?
3. Evaluate each expression for the given variable.
a.
3a − 7 when a = 4
b.
m2 + m + 5 when m = 2
c.
3n – (n + 6) when n = 4
d.
x
+ 2 when x = 6
3
4. Write each percent as a fraction and a decimal.
a.
30%
b.
9%
c.
200%
5. Draw diagrams to calculate each of the following quotients.
a.
2 2
4 ÷
3 3
b.
10 ÷ 2
1
2
6. In this figure, the area of the shaded region is 3 square inches.
What is the area of the total figure?
7. Simplify each expression by combining like terms. Using algebra tiles may be helpful.
a. 4x + 2 + 2x + x2 + x
b. 10x + 4 −3 + 8x + 2
c. 4 + x2 + 3x + 2x2 + 4
d.
x + 4 + x – 1 + 3 + 2x
8. Use the correct order of operations to simplify each of the following expression. Circle the terms.
a.
9−3·2
b.
5(7 − 1) + 22
c.
18 − 7 ÷ 2 + 5 · 4
9. Are the following expressions equivalent? Show your work to show why or why not.
a. 5n(n + 2)
and
5n2 + 10n
b.
x+x+x+5
and
10. a. Label the following coordinates on the grid.
M: (-3, 2)
A: (5, 4)
T: (5, -3)
H: (-1, -4)
b. What is the distance between Point A and Point T? _________________
x3 + 5