Name: ___________________________________________________ Date: _________________________ Period: ________
Pre Algebra 2085 Midterm Review # 1 – Show ALL of your work on a SEPARATE paper.
Simplify:
1.
2. −3(𝑥 − 7) + 8𝑥
(10 − 33 ∙ 22 ÷ 9 + 4) ÷ (−13)
Solve the equations. Solve and graph the inequalities.
3. 2𝑦 − 18 = 44
5.
𝑎
3
4. 2(𝑛 + 3) ≥ −4
+9>8
6.
3
5
𝑦 = 12
Translate and Solve:
7. “If fourteen is added to five times a number, the result is 129.”
Application problems:
8. A particle of salt floating in the air weighs 0.0005437 gram. Write this value in scientific notation.
1
5
4
8
9. Samantha’s group had 5 gallons of water and they drank 1 gallons of it. How much water does
Samantha’s group have left?
10. The low temperatures in Hatfield during four winter days were 7℉, -2℉, -6℉, and 9℉. What was the
average low temperature during these four days?
11. If the areas of the bodies of water are put in order from the least to the greatest area, which would
be the THIRD on the list.
Body of Water
Area (𝑘𝑚2 )
Lake Harmony
Lake Bluen
Lake Oran
Lake Seebs
12. What is the value of
3.1 × 105
2.3 × 104
6.7 × 102
5.4 × 103
p5  q 0 r if p  2, q  4, r  20
13. Write an expression to represent the total cost for the following situation:
The postage for a priority mailing box is $1.57 for the first pound and $1.03 for each additional
pound. The box you are mailing weighs 5 pounds.
14. Which statement is true?
a. All whole numbers are natural numbers.
b. An integer is irrational.
c. All whole numbers are rational.
d. Every rational number is negative.
15. What is the value of the expression:
225  42  2   37   10 
16.
a. How many cups of flour and sugar would you need if
you were to make half a batch of cookies? Show or
explain your work.
COOKIES
Ingredient
Flour
Amount for One Batch
4
1
𝑐𝑢𝑝𝑠
2
Salt
2
𝑡𝑒𝑎𝑠𝑝𝑜𝑜𝑛
3
Sugar
3
𝑐𝑢𝑝
4
Chocolate Chips
5 𝑐𝑢𝑝𝑠
b. If you have 3 cups of sugar in your kitchen, how many
batches of cookies could you make? Show or explain
your work.
17.
Suppose the mall wants to paint the side of its
building that is show to the right. They will not
paint over the mural or the door.
a.
How many square feet of wall do you
have to paint? Show or explain your
work.
b. If one gallon of paint covers 1,200
square feet, how many gallons of paint
do they need to buy? Show or explain
your work.
Wall
Mural
70 ft X 55 ft
Door
17 ft X 40 ft
150 ft
105 ft