Journey through Equations
Solve for x.
0.5x + 78.2 = 287
a) x = 104.4
b) x = 417.6
c) x = 495.8
d) X = 730.4
b) x = 417.6
TRIPLE POINTS
Josh has a rewards card for a movie theater.
Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?
a) 55 ≥ 3.5x + 15
b) 55 ≥ 15x + 3.5 |
C) 55 ≤ 3.5x + 15
d) 55 ≤ 15x + 3.5
C) 55 ≤ 3.5x + 15
GameStop is having a sale! A new VR costs $399. The sale is 20% off. What is the sale price of the VR?
(Hint: Money has 2 decimal places)
The sale price is $319.20
Which expression is equivalent to 8c+6-3c-2 ?
a) 5c+4 b) 5c+8 c) 11c+4 d) 11c+8
a) 5c+4
Which expression represents a factorization of 32m + 56mp?
a) 8(4m + 7p)
b) 8(4+7)mp
c) 8p(4 + 7m)
d) 8m (4 + 7p)
d) 8m (4 + 7p)
Solve for x.
13+7x=27
x=2
Solve the following inequality
5x-15>100
x is greater than 23
x>23
Bonnie deposits $70.00 into a new savings account.
What is the total amount of money in her savings account at the end of the 3 years?
a) $9.45
b) $79.45
$94.50
d) $164.50
b) $79.45
4.8 + 2.2w - 1.4w + 2.4
0.8w+7.2
Dereck bought 35 feet of border for his room at a hardware store. The border cost $1.75 per foot, including sales tax. If Dereck paid with a $100.00 bill, how much change should he have received?
a) $20.00
b) $38.75
c) $61.25
d) $80.00
b) $38.75
Which expression is equivalent to (-18) - 64n?
a) —2(9 - 32n)
b) 2(9 - 32n)
c) - 2(9 + 32n)
d) 2(9 + 32n)
c) - 2(9 + 32n)
Identifying the inequality sign using the phrases below
a) at least (Hint: Minimum)
b) at most (Hint: Maximum)
a) ≥ greater than or equal to
b) ≤ less than or equal to
a) Round 45.10 to the nearest whole number.
b) Round 6.74 to the nearest tenth.
c) Round 92.745 to the nearest hundredth.
a) 45
b) 6.7
c) 92.75
Which expression represents a factorization of 32m+56mp?
a) 8(4m+7p) b) 8(4+7)mp c) 8p(4+7m) d) 8m(4+7p)
d) 8m(4+7p)
If the expression below has a positive value, which inequality represents all possible values of x in the expression?
-3x
a) x <0
b) x > 0
c) x ≤ 0
d) x ≥ 0
+
a) x <0
Dereck bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If Salid paid with a $100.00 bill, how much change should he have received?
a) $20.00
b) $38.75
c) $61.25
d) $80.00
CC 7.EE.3
+
b) $38.75
For her cell phone plan, Heather pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month.
Which inequality represents the
number of texts, t, Heather can send each month while staying within her budget?
a) t < 600
b) t > 600
c) t < 1,800
d) t > 1,800
a) t < 600
Jennifer has 84.5 yards of fabric to make curtains. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many yards of fabric does Jennifer use per curtain?
10.8 yards
Which expression represents the sum of (2x -5y) and (x+y)?
a) 3x - 4y
b) 3x - 6у
c) x- 4y
d) x —6y
a) 3x - 4y
Kasey and Andrew each went for a walk, once a day, for 4 days.
At the end of 4 days, how much farther, in miles, had Kasey walked than Andrew?
Kasey walked 3/5 mile (0.6 miles) farther than Andrew
Define the variables and translate the following statements into an algebraic equation.
Renting a car costs $55 per day plus $0.45 per mile. The cost of the rental is $100.
a) Let r be the number of the rental; 100=55+0.45r
b) Let m be the number of miles; 100=55+0.45m
c) Let d be the number of days; 100=55+0.45d
d) Let c be the number of costs; 100=55+0.45c
b) m represents the number of miles; 100=55+0.45m
Chef Cherry needs at least 80 cupcakes to complete an order for a birthday party. She already made 23 cupcakes. Chef Cherry and her two baking assistants will make the remaining cupcakes today. Each person bakes the same amount of cupcakes.
a) Write an inequality that can be used to determine the minimum amount of cupcakes each person will make to complete the order. (Use c to represent the number of cupcakes each person makes)
b) Solve for c
a) 3c+23 ≥ 80
b) c ≥ 19
Each sales associate at an electronics store has a choice of the two salary options shown below.
The average of the total sales amount for each associate last year was $125,000.
Based on this average, what is the difference between the two salary options each
year? (52 weeks = 1 year)
a) $4,262.11
b) $5,545.00
c) $10,956.90
d) $11,525.00
b) $5,545.00
Combine Like Terms
2(5+7x)-3(5+2x)
8x-5
Graham's monthly bank statement showed the following deposits and withdrawals:
-$25.20, $52.75, - $22.04, - $8.50, $94.11
If Graham's balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month?
$138.98