CHAPTER 7 STUDY GUIDE NAME: __________________________________________________ PERIOD: ___________________
1. Simplify the following expressions. (Thinking about distributive property) a. 6(x+9)
b. 8(3n+2)
c. 9(3k-2)
2. Simplify the expressions below thinking about order of operations! (PEMDAS) a. 17-102+2(16-2)
b. 49-3(5-1)2-16∙2
3. Simplify the expressions below(think about making a generic rectangle) a. 3 ½ ∙ 4 6/7
b. 5 ¾ ∙ 6 2/3
4. Simplify the expressions below. Draw a picture if you need to help yourself. a. ½ ÷7/8
b.
1
/9 ÷ ¼
5. Solve the following expressions using substitution a. 3(x+4) when x=12
b. 15d-17+d when d=10
6. What is the perimeter and area of the shape made by the algebra tiles write an expression to represent the area and perimeter. a.
b.
c.
7. What is the formula to find area of a triangle? What is the formula to find area of a trapezoid? What is the formula to find area of a parallelogram?
8. Farmer Claude can plant nine feet of carrots in 30 minutes while her daughter Josie can plant 17 feet of carrots in one hour. a.
Which farmer plants carrots more quickly? Why?
b.
What is each farmer’s rate in carrots per hour?
9. Julie thought of the following steps in a number trick: 1. Think of a number, 2. add twelve 3. then multiply by seven. Let x represent the number in the trick above. Write the result of these three steps both as an expression.