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Expressions and Equations
Partner Card One
1.
Solve for a. 6a – 3 = 15
2.
Solve for z.
3.
Solve for a. 7a + 4 -13a = 46
4.
Solve for j.
9+
9=
z
= 14
6
6 j -18
4
5.
Noelle biked twice as many miles as Leila. Adding 2 to the number of miles Noelle biked and
dividing by 3 gives the number of miles Dani biked. Dani biked 18 miles. How many miles did Leila
bike?
6.
Solve for c.
5 - 7c = -3c -19
7. Solve for x.
2
1
4- x = x-8
5
5
8. Mercedes saves $50 each month. Ken saves $40 each month, and he started with $100. After how
many months will they have the same amount saved?
9. Prove these two equations are equal to one another:
2a + 8
=4
5
and
2a 8
+ =4
5 5
Answers To Partner Card Two
1. Answer: y = 8
3. Answer: b = 4
2. Answer: w = 147
4. Answer: y = 5
5. Let x = the number of graphic novels that Levi owns
2x + 6
= 30
7
x = 102 Levi owns 102 graphic novels.
6. Answer: b = 1/2
7. Answer: m = 8/3 or 2 2/3
8. Let m = the number of months it will take for the savings to be equal
40x = 30x + 50
x=5
It will take five months for the savings to be equal.
9.
For the first equation multiply both sides by 3, subtract 12 from both sides and divide both sides by 3.
The answer is a = 2.
For the second equation subtract 12/3 or 4 from both sides, multiply both sides by 3 and then divide
both sides by 3. The answer is also a = 2.
Expressions and Equations
Partner Card Two
w
+13
-7
1.
Solve for y.
-5y + 6 = -34
2.
Solve for w.
-8 =
3.
Solve for b.
8b - 5
=9
3
4.
Solve for y.
52 = -9 +16y -19
5. Jamal owns twice as many graphic novels as Levi owns. Adding 6 to the number of graphic novels
Jamal owns and then dividing by 7 gives the number Brooke owns. Brooke owns 30 graphic novels.
How many does Levi own?
6. Solve for b.
-6b + 9 = 12b
7.
Solve for m. 18m -14 = 12m + 2
8. Jack saves $40 each month. Betty saves $30 each month, and she started with $50. After how
many months will they have the same amount saved?
9. Prove these two equations are equal to one another:
3a +12
=6
3
and
3a 12
+ =6
3 3
Answers To Partner Card One
1. Answer: a = 3
3. Answer: a = -7
2. Answer: z = 30
4. Answer: j = 9
5. Let m = the number of miles Leila bikes.
2m + 2
= 18
3
m = 26 miles
Leila travels 26 miles.
6. Answer: c = 6
7. Answer: x = 20
8. Let m = the number of months it will be before their savings are the same
50x = 40x + 100
x = 10
It will be 10 months before their savings are the same.
9.
For the first equation multiply both sides by 5, subtract 8 from both sides and divide both sides by 2.
The answer is a = 6.
For the second equation subtract 8/5 from both sides, multiply both sides by 5 and then divide both
sides by 2. The answer is also a = 6.