Unit 2 Study Guide
Unit 2 Study Guide
Complete all parts of this study guide on notebook paper. Please
show all work.
Complete all parts of this study guide on notebook paper. Please
show all work.
I. VOCABULARY
I. VOCABULARY
Open Sentence
Equivalent Equations
Replacement Set
Number Theory
Consecutive Integers
Equation
Set
Solution Set
Solve an Equation
Multi-Step Equation
Solving
Element
Identity
Solution
Formula
Open Sentence
Equivalent Equations
Replacement Set
Number Theory
Consecutive Integers
Equation
Set
Solution Set
Solve an Equation
Multi-Step Equation
Solving
Element
Identity
Solution
Formula
II. WORK OUT
II. WORK OUT
Find the solution set of each equation if the replacement sets are
W: {1,3,5,7,9} and X: {10,13,14,16,18}.
1. 24 – w = 17
2. 4x = 52
3. 4(w +1) = 40
Find the solution set of each equation if the replacement sets are
W: {1,3,5,7,9} and X: {10,13,14,16,18}.
1. 24 – w = 17
2. 4x = 52
3. 4(w +1) = 40
Solve each equation.
Solve each equation.
4. w = 56 ÷ (22 + 3)
5. b =
9(6)
6. k = 32 – 9(2)
(8+1)3
Translate each of the following.
7. Twenty-eight times f is g cubed decreased by nine.
8. Fifteen more than c times 6 is 11 less than d times 4
9. A number p divided by four is six less than r squared.
10. 12 – 2x = – 5
11. a2 + 3b =
𝑐
6
4. w = 56 ÷ (22 + 3)
5. b =
9(6)
6. k = 32 – 9(2)
(8+1)3
Translate each of the following.
7. Twenty-eight times f is g cubed decreased by nine.
8. Fifteen more than c times 6 is 11 less than d times 4
9. A number p divided by four is six less than r squared.
10. 12 – 2x = – 5
11. a2 + 3b =
𝑐
6
Translate each sentence into a formula.
12. The perimeter of a rectangle is equal to 2 times the length plus
twice the width.
13. The density of an object is the quotient of its mass and its volume.
Translate each sentence into a formula.
12. The perimeter of a rectangle is equal to 2 times the length plus
twice the width.
13. The density of an object is the quotient of its mass and its volume.
Solve each equation. Be sure to check your answer
𝑛
14. z – 9 = 14
15. 6 = - 4
Solve each equation. Be sure to check your answer
𝑛
14. z – 9 = 14
15. 6 = - 4
16. 12y = – 132
17. 18 + f = 40
18. 2w – 6 = 4
19.
𝑎
21.
𝑐−5
20.
4
5
k+2=6
22. 7n + 6 = 4n – 9
6
-5=9
4
=3
23. 3v – 13 + 4v = 7v + 1
16. 12y = – 132
17. 18 + f = 40
18. 2w – 6 = 4
19.
𝑎
21.
𝑐−5
20.
4
5
k+2=6
22. 7n + 6 = 4n – 9
6
-5=9
4
=3
23. 3v – 13 + 4v = 7v + 1
24. Find three consecutive integers whose sum is – 96.
25. Find three consecutive odd integers whose sum is 196.
26. Find four consecutive even integers whose sum 44.
24. Find three consecutive integers whose sum is – 96.
25. Find three consecutive odd integers whose sum is 196.
26. Find four consecutive even integers whose sum 44.
BIRD WATCHING While Ashley sat observing birds as a bird feeder,
one fourth of the birds flew away when they were startled by a noise.
Two birds Left the feeder to go to another stationed a few feet away.
Three more birds flew into the branches of a nearby tree. Four birds
remained at the feeder. How many birds were at the feeder initially?
BIRD WATCHING While Ashley sat observing birds as a bird feeder,
one fourth of the birds flew away when they were startled by a noise.
Two birds Left the feeder to go to another stationed a few feet away.
Three more birds flew into the branches of a nearby tree. Four birds
remained at the feeder. How many birds were at the feeder initially?
COIN COLLECTING Tyler has a total of 92 coins in his collection.
This is 8 more than three times the number of quarters in the
collection. How many quarters does Tyler have in his collection?
COIN COLLECTING Tyler has a total of 92 coins in his collection.
This is 8 more than three times the number of quarters in the
collection. How many quarters does Tyler have in his collection?
GEOMETRY The formula for the perimeter of a rectangle is
P = 2l + 2w, where l is the length and w is the width. A rectangle has
a perimeter of 24 inches. Fins its dimensions if its length is 3 inches
greater than its width.
GEOMETRY The formula for the perimeter of a rectangle is
P = 2l + 2w, where l is the length and w is the width. A rectangle has
a perimeter of 24 inches. Fins its dimensions if its length is 3 inches
greater than its width.
PLEASE COMPLETE THIS STUDY GUIDE AND IF THERE IS A
QUESTION ABOUT ANY OF THE PROBLEMS, PLEASE ASK FOR
HELP. TUTORING IS HELD MONDAY – THURSDAY FROM 3-4pm.
PLEASE COMPLETE THIS STUDY GUIDE AND IF THERE IS A
QUESTION ABOUT ANY OF THE PROBLEMS, PLEASE ASK FOR
HELP. TUTORING IS HELD MONDAY – THURSDAY FROM 3-4pm.