Combine Like Terms
Simplify the expression.
4a+7c-2-5a+2c
-a+9c-2
Simplify the expression.
5(2x-3)
10x-15
Simplify the expression.
(8x + 7) + (5x + 7)
13x+14
Simplify the expression.
(9x – 4) – (6x + 7)
3x-11
Factor the expression.
12x+30y
6(2x+5y)
Simplify the expression.
8 – 7x + 2y – 3x + 2y + 3
-10x+4y+11
Simplify the expression.
8(-5x+2)+46x
6x+16
Simplify the expression.
(−2x + 9) + (3x + 4)
x+13
Simplify the expression.
(–3x + 8) – (2x + 6)
-5x+2
Factor the expression
24x+60y-12z
12(2x+5y-z)
Simplify the expression.
− 0.6 − 0.8a + 0.3a − 0.9
-0.5a-1.5
A tablecloth is 10 feet long and x + 3 feet wide. What is the area of the tablecloth?
10x+30 ft2
Simplify the expression.
(6x − 1) + (−9x + 6)
-3x+5
Simplify the expression.
(10x –3) – (–8x + 12)
18x-15
Factor the expression.
-6x-9
-3(2x+3)
A students reads 3(x+5) pages of a book on Monday and 2(x-2) pages on Tuesday. How many pages total did the student read?
5x+11 pages
You earn 4(x+3) dollars but spend 2(x+1) dollars. How much money do you have left over?
2x+10 dollars
At an amusement park, Dan rode (3r + 4) rides. Pete rode (5r – 2) rides. George rode (4r + 6) rides. How many rides did the three friends ride in all?
12r+8 rides
Jake makes (13f + 10) dollars for selling f yards of fabric. He pays (0.6f – 3) dollars to rent the booth at the local market. What is the Jake’s profit for selling f yards of fabric?
12.4f+13 dollars
A team buys jerseys that cost 12x+48 dollars. The parents want to split the the cost of the jerseys. Factor the expression to represent how much each parent will pay.
12(x+4) dollars
A rectangular picture frame has a length of 4x+3 inches and width of 8 inches. What is the perimeter of the picture frame?
8x+22 inches
A class pays 5(x+12) dollars for tickets and 2(x+8) dollars for snacks. What is the total cost that the class spent?
7x+76 dollars
Joe and Gina are working on a science fair project. Joe worked for (11x – 9) hours on the project. Gina worked for (8x + 13) hours on the project. What is the total time it took Joe and Gina to complete the science fair project?
19x+4 hours
A tutor makes (20h + 9) dollars for tutoring h hours. The cost of materials to be used to explain the concepts to students was (2.5h – 4) dollars. What is the tutor’s profit for tutoring?
17.5h+13 dollars
Joey pays $20 per hour to rent a canoe. He also pays $10 to buy his own oars. The total amount that Joey pays to purchase oars and rent a canoe for c hours can be represented by 20c + 10. What is this expression written in factored form?
10(2c+1)