Combining Like Terms
Simplify: 4x+7+3x−2
7x+5
Simplify:
3(x+4)
3x+12
Factor:
3x+12
3(x+4)
Carlos and Elena both earn $12 per hour. Carlos also receives a $40 bonus. Let C represent the number of hours Carlos worked and E represent the number of hours Elena worked.
The expression 12(C+E)+4012(C+E)+4012(C+E)+40 represents their total combined pay.
Which expression is equivalent and clearly shows Carlos's pay and Elena's pay separately?
A. 12C+12E+40E
B. 12C+40+12E
C. 12C+12E+40C
D. 12(C+E+40)
B. 12C+40+12E
Simplify: 9y−4+2y−7
11y−11
Simplify: 5(x−2)
5x−10
Factor: 5x−10
5(x−2)
Marcus and Olivia both earn $15 per hour. Marcus also receives an additional $25 travel stipend. Let M represent the number of hours Marcus worked and O represent the number of hours Olivia worked.
The expression 15(M+O)+25 represents their total combined pay.
Which expression is equivalent and clearly shows Marcus's pay and Olivia's pay separately?
A. 15M+25+15O
B. 15M+15O+25O
C. 15M+15O+25M
D. 15(M+O+25)
Simplify: 6a+8−10a+3
−4a+11
Simplify: −2(x+7)
−2x−14
Factor: 4x+20
4(x+5)
A school fundraiser sells notebooks for $4 each. In addition, each student receives a $20 donation from a local business. Let n represent the number of notebooks a student sells and s represent the number of notebooks the student's sibling sells.
The expression below represents the total amount of money raised by both students:
4(n+s)+20
Which expression is equivalent to 4(n+s)+20 and clearly shows the amount raised by each student separately?
A. 4n+4s+20s
B. 4(n+s+20)
C. 4n+4s+20n
D. 4n+20+4s
Simplify: −5m+12+2m−9
−3m+3
Simplify: 4(2x−3)
8x−12
Factor: 6x−18
6(x−3)
Which expression is equivalent to 3(2x+4)−5x+1?
A. x+13
B. x+11x
C. 11x+11
D. x−13
A. x+13
Simplify: 8n−6−12n+1
−4n−5
Simplify: −3(4x−5)
−12x+15
Factor:
8x+24
8(x+3)
Which expression is equivalent to 4(3y−2)+2y+6?
A. 14y−14
B. 14y−2
C. 10y+4
D. 12y+2
B. 14y−2