Math
An expression is given.
-4x+6+13x-5
Create an equivalent expression.
9x+1
Find the value of x when 6-2x=6x-10x+2 .
x=-2
Which expression is equivalent to -4(3n-1/4)-6n ?
A. -6n+1
B. -18n-1/4
C. -6n-1/4
D. -18n+1
D. -18n+1
Everett performs at a fair. He earns $100 plus $3 for every ticket sold. He want to earn more than $450. Which inequality can be used to find the number of tickets, t, that need to be sold for Everett to earn more than $450?
A. 1/3t+100>450
B. 1/3t+450>100
C. 3t+100>450
D. 3t+450>100
C. 3t+100>450
What is the value of n when 5n−9=3n+5?
n = 7
Gavin purchases a cell phone plan, which includes a cell phone and cell phone service. He makes a deposit of $300 for the cell phone and then plays $75 per month for the cell phone service.
Create an equation to model the total amount of money, y, in dollars, Gavin spends on the cell phone and plan after x months.
How much money does Gavin spend per year for cell phone service?
y=75x+300
$1200
Classify the equation, 5x+6=5x−1, as having one solution, no solution, or infinitely many solutions.
The equation has no solutions.
Factor the algebraic expression.
16a+18
2(8a + 9)
A bowling alley charges x dollars per guest and a fixed $60 rental fee for parties.
What equation represents the total cost, y, for 8 guests?
If the total cost is $116, how much does the bowling alley charge per guest?
y=8x+60
$7
Distribute 4(c+6).
4c + 24
A student received a coupon for 17% off the total purchase price at a clothing store. Let b be the original price of the purchase. Use the expression below for the new price of the purchase. Use b−0.17b to write an equivalent expression by combining like terms.
0.83b
Rewrite the expression without parentheses.
15-(-6m-5)
A. 15m+6m-5
B. 15m-6m+5
C. 15m+6m+5
D. 15m-6m-5
C. 15m+6m+5
Graph the solutions of the inequality.
x−3 < 14
Solution is x < 17. Graph has open dot on 17 with arrow pointing to the left.
Solve the following equation.
6x−4=14
x = 3
The solution is 3.
7x−(3+5x)
2x - 3 OR 2x + -3
At a graduation dinner, an equal number of guests was seated at each of 5 large tables, and 4 late-arriving guests were seated at a smaller table. There were 44 guests in all. If n represents the number of people seated at each of the large tables, what equation could you use to find the value of n?
5n + 4 = 44
Solve the inequality.
m/-3≤2
m ≥ -6
A family is going on a road trip. On the first day the family traveled x miles. The following day the family went 55 miles more than three times the number of miles traveled on the first day. On the third day the family went 80 fewer miles than the first day. Write and simplify an expression for the total number of miles traveled.
5x + -25 miles
OR 5x - 25 miles
Maddox and Cooper have at most 75 minutes to set up and play a game. It takes 7 minutes to set up the game. Each round of the game takes 10 minutes.
Create an inequality that can be used to find the number of rounds, r, they can play.
What is the maximum number of complete rounds that can play?
10r+7≤75
6 rounds
Evaluate the equation below.
2(x-8)+2=6x-2
x=-3
Solve 11y−8y−9=22.65.
y = 10.55
Solve the inequality. Then graph the solutions on a number line.
18>−2(5x−4)
x > -1
Graph has an open dot on -1 with an arrow pointing to the right.
You buy 1.55 pounds of oranges and 1.85 pounds of apples. Oranges and apples sell for the same price per pound. The total cost, after using an 85¢-off coupon, is $2.21. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
3.4c - 0.85 = 2.21
Oscar and Michelle Morrison are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. The reception hall charges a $50 cleanup fee plus $31 per person. Write an inequality that you can use to find the greatest number of people that they can invite and still stay within their budget. Then solve and graph the inequality.
31n + 50 ≤ 2,000
n ≤ 62
Graph has a closed dot on 62 with an arrow pointing to the left.
Select the two expressions that are equivalent to 4(1/8x-1)-1/2(2/3x-6) .
A. 1/2x-4-1/3x-3
B. 1/2x-4-1/3x+3
C. 1/6x-7
D. 1/6x-1
E. 1/6x+5
B. 1/2x-4-1/3x+3
D. 1/6x-1