Five-Minute Check (over Lesson 2-3)
Main Ideas and Vocabulary
Targeted TEKS
Example 1: Solve Using Addition and Division
Example 2: Solve Using Multiplication and Addition
Example 3: Write and Solve a Multi-Step Equation
Example 4: Solve a Consecutive Integer Problem
• Solve equations involving more than one operation.
• Solve consecutive integer problems.
• multi-step equations
• consecutive integers
• number theory
Solve Using Addition and Division
Solve 5q –13 = 37. Check your solution.
5q – 13 = 37
5q – 13 + 13 = 37 + 13
5q = 50
Original equation
Add 13 to each side.
Simplify.
Divide each side by 5.
Answer: q = 10
Simplify.
To check, substitute 10 for q in the original equation.
Solve 4a – 42 = 14.
A. –14
B. 14
C. –7
D. 7
0%
0%
A
B
A. A
B. 0% B
C. C
C
D. D
0%
D
Solve Using Multiplication and Addition
Original equation
Add 9 to each side.
Simplify.
Multiply each side by 12.
Answer: s = –24
Simplify.
A. 3
B. 21
C. 12
D. –6
0%
1.
2.
3.
4.
A
B
C
D
A
B
C
D
Write and Solve a Multi-Step
Equation
SHOPPING Susan had a $10 coupon for the purchase
of any item. She bought a coat that was
its original
price. After using the coupon, Susan paid $125 for the
coat before taxes. What was the original price of the
coat? Write an equation for the problem. Then solve
the equation.
Words
One-half of the price minus ten dollars is 125.
Variable
Let p = the original price.
Equation
–
10
=
125
Write and Solve a Multi-Step
Equation
Original equation
Add 10 to each side.
Simplify.
Multiply each side by 2.
p = 270
Simplify
Answer: The solution is $270.
Three-fourths of seven subtracted from a number is
negative fifteen. What is the number?
A. –13
0%
B. –15
C.
1.
2.
3.
4.
A
D. 7
A
B
C
D
B
C
D
Solve a Consecutive Integer Problem
NUMBER THEORY Write an equation for the problem
below. Then solve the equation and answer the
problem.
Find three consecutive odd integers whose sum is 57.
Let n = the least odd integer.
Let n + 2 = the next greater odd integer.
Let n + 4 = the greatest of the three odd integers.
The sum of three consecutive odd integers
is
57.
n + (n + 2) + (n + 4)
=
57
Solve a Consecutive Integer Problem
n + (n + 2) + (n + 4) = 57
3n + 6 = 57
3n + 6 – 6 = 57 – 6
3n = 51
Original equation
Simplify.
Subtract 6 from each side.
Simplify.
Divide each side by 3.
n = 17
Simplify
n + 2 = 17 + 2 or 19
n + 4 = 17 + 4 or 21
Answer: The consecutive odd integers are 17, 19, and
21.
Find three consecutive even integers whose sum is
84.
A. 28, 30, 32
B. 26, 28, 30
C. 20, 20, 24
D. 40, 20, 24
0%
0%
A
B
A. A
B. 0% B
C. C
C
D. D
0%
D