Math
Identify the number of terms in the following expression.
7m+3a+7
There are 3 terms.
Find a difference equivalent to the product shown.
11(x−y)
11x + -11y
OR
11x - 11y
A 117-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
The shorter piece is 39 inches long.
List all the coefficients and constants of the following expression.
4+(8/9)b+7−x
Coefficients: 8/9, -1
Constants: 4, 7
What is the value of n when 5n−9=3n+5?
n = 7
Solve the following equation.
0.9 = 3/10(b−4)
b = 7
The solution is 7.
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 company has two manufacturing plants with daily production levels of 5x+11 items and 2x−3 items, respectively. The first plant produces how many more items daily than the second plant?
The first plant produces 3x + 14 items more.
Expand 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
Combine like terms.
(7y+4m)+(−2m−5)+(6+6y)
13y + 2m + 1
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
Combine like terms in the expression below.
9x+4.91xy+22y+32y−14x+9.88
4.91xy + -5x + 54y + 9.88
Solve.
x/12 − 7 = 11/24
x = 89u1/2
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.
Last season, a sports fan spent $2,736 to see his favorite team play 36 games. To see each game, the fan had to buy a ticket and pay $35 for parking. Let p represent the amount the fan paid for each ticket. Write an equation that represents the total amount the fan paid. A friend of the sports fan bought 5 tickets at the same price. How much did the friend spend?
2,736 = 36(p + 35)
The friend spent $205.