Name: ___________________________
Date:______________
Period: ______ MPJH
Test REVIEW 6.1: Inequalities, Equations, and Scaling Shapes
1. Ana has a budget of $25 to spend on flowers.
hanging basket of flowers costs $5.10.
A package of flowers costs $1.99, and a
Both prices include tax.
Write the inequality that
can be used to determine p, the number of packages of flowers she can buy if she also
buys a hanging basket of flowers?
2. The Peterson family budgeted $5,000 for their vacation to Jamaica. Their budget
consisted of $2,500 for travelcosts and $200 per day for other expenses. Write an
inequality that represents the number of days, x , the Peterson’s can stay on vacation?
Solve each inequality and graph the solution on the number line provided.
6.
6 – 4𝑚 < 10
7.
11 < 3𝑡 − 5
8. 4𝑥 − 1 ≤ 19
9.
𝑝
2
+ 7 ≤ 10
10. −2(𝑥 + 3) > −16
11. – 𝑝 + 6𝑝 ≤ 4 + 6𝑝
Determine the inequality that goes with the graph:
12.
13.
14.
15. Two expressions are shown below.
Expression 1: 0.25x – 12
Expression 2: 18 – 0.55x
What is the value of x so that the two expressions have the same value?
16. The equation below can be used to represent which of the following situation?
2x + 5 = 3x
A The price of five boxes of apples
is $5
B The price of two boxes of apples
and a $5 drink equals the price of
three boxes of apples.
C
The price of three boxes of apples and
a $5 drink equals the price of two
boxes of apples
D
The price of two boxes of apples
Equals the price of a $5 drink.
17. Which situation can be represented by the equation
2x + 150 = 5x?
A Melany has 5 stamps and buys 150
stamps each week. Ezequiel has no
stamps and buys 2 stamps each
week. When will Ezequiel have
more stamps than Melany?
B
Melany has 2 stamps and buys 150
stamps each week. Ezequiel has no
stamps and buys 5 stamps each
week. When will they have the same
number of stamps?
18. Ally and Maria are each opening a savings account. Ally opens her account with $50 and
adds $5 a week. Maria opens her account with $15 and adds $12 a week. In how many
weeks will Ally and Maria have the same amount of money in their savings account?
Solve the equation:
19.
5(d + 2) = 3(d – 6)
20.
15 – (4z + 3) = 12 + z
21.
-2x + 2 = 3(4 + x)
22.
3m + 12 = -m – (m + 13)
23.
What equation does the model show?
24. Draw the image of the figure after the dilation of a scale factor of 4.
What is the perimeter of the original figure? _________________________
`
What is the perimeter of the new figure? ___________________________
What is the area of the original figure? _____________________________
What is the area of the new figure? ________________________________
Describe the change in the perimeter after the dilation.__________________________________________
Describe the change in the area after the dilation. ______________________________________________
25. The figure below will be dilated by a scale factor of 5 from the center of dilation.
What is the algebraic rule that will reflect the new coordinates of the figure?
A (x – 5, y – 5)
B ( -5x, -5y)
C (5x, 5y)
D (x + 5, y + 5)
26. The following square is dilated by a scale factor of
1
4
to create a new square.
What is the measure of the side length of the new square?