Download Problem Solving with Expressions and Equations

CC3 Unit 2 - Review
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Problem Solving with Expressions and Equations
Main Ideas
Domain 1
Ratios and
Proportional
Relationship
Details
Juan is buying soda for a class party. He can go to the vending
machine and buys 12-oz cans for $0.60 each or to the grocery
store and get 32-oz jugs for $1.76. Which is the best deal? Be
sure to organize, label, and justify your work.
Solve for v in this equation:
=
Mrs. Ghost gives out only one type of candy for Halloween. The
local discount store sells six pounds of butterscotch candies for
$7.50. Use Proportional reasoning to answer the questions
below.
a. What is the cost of 18 pounds of butterscotch?
b. What is the cost of 10 pounds of butterscotch?
c. What is the unit rate for butterscotch?
If we can buy 12 oranges for $ 5.40, what is the unit price? Write the rule
for the proportional relationship, complete the table and graph.
x
-3
-2
-1
0
1
2
3
y
Main Ideas
Domain 2
The Number
System
Details
Compute without using a calculator.
23 – (-27)
-3(-4)
-25 – (-20)
-5(-12)
-2+ (-28)
-(-3) - (-4) - (-5)
Compute without using a calculator.
2/3(0.8)
4/3*3/7
-27 – (-53)
− ∙
− ÷
−3 ÷
Main Ideas
Details
Domain 3
Simplify and then evaluate the expression.
Expressions and
Equations
Evaluate for x = -2 and y = 4.
2x + 3y + x – 5 – 6x – (-2y)
Simplify the variable and numerical expressions.
3xy +8x – 5y +2 – (-4xy) + 2x -3 or −3 − 2 6 − 4 − −4
Solve equations or inequalities and justify your steps.
2x + 1 = 3x – 4
and
7x - 2 < 2x + 15
Simplify the expression 3 − 5 − 4 +
− 2
Then evaluate the result if x = 1 and y = 6.
Solve for the given variable.
3p – 7 + 9 – 2p = p + 2
−
−2 =
+2
−5−2
.
Main Ideas
Domain 3
Expressions and
Equations
Details
Use what you know about m and b to graph each equation below.
a. y= – 2x + 3
b. y = 5
c. y = 3x – 4
Complete a table for the rule y = 3x – 2.
a. Invent a tile pattern for the rule.
b. Draw a complete graph for this rule.
c. Is (32, 94) a point on this graph? Explain.
Use your pattern skills t complete the table below.
In(x)
2
10
0
7
-3
-5
-10
Out(y) -6
-30 0
15
100
x
a. Explain what is cone to the input value, x to produce the
output value, y.
b. Write the process you described in part (a) in algebraic
symbols.
Main Ideas
Domain 4
Details
Find the area and perimeter.
Geometry
34 ft
13 ft
22 ft
22 ft
Find the area and perimeter or circumference of each figure.
a. Only the shaded region. The diameter is 12in.
b. The diameter of the circle is 16 cm and the length of the
long side of the rectangle is twice the diameter.
Main Ideas
Domain 5
Statistics and
Probability
Details
Construct a box plot to represent the data.
89, 49, 38, 45,70, 52, 69
Construct a stem-and-leaf plot to represent the data.
2, 4, 5, 7, 11, 13, 15, 16 , 23, 23, 24, 26,26, 26, 32, 33, 35, 35, 42