Using Letters to Represent Numbers
m ÷ 5 - 12
3a + 4
a=6
a + a - 5 + 7
2a + 2
Expand this expression:
5(c + 6)
5c + 30
Factor this expression:
5e + 15
5(e + 3)
Multiply b by 3, then divide the product by 8
3b/8 or 3b ÷ 8
Divide 4(k - 1) by (k + 5)
k = 5
1 6/10 or 1.6
8e - 3e + 5e +8e
18e
State whether these expressions are equivalent.
5(2j -3) and 10j + 15
They are NOT equivalent because one is addition and one is subtraction.
Factor this expression:
30h + 15
15(2h + 1)
4s + 12
4 + 5z/6
z = 12
10 2/3
16 + 12y - 9 + 7y - 4y + 11
15y + 18
Expand both expressions:
7(5 + 4r)
9(2 - r)
35 + 28r
18 - 9r
State whether both expressions are equivalent:
3(n + 3) and 9n + 9
They are NOT equivalent.
A number that is 7 more than 3 times x.
3x + 7
Subtract 40 from the sum of 8k and 12.
k = 5
12
State whether these are equivalent:
2g + 5g and 4g + 5g - 2g
If they are not equivalent, write an expression that would be equivalent to each.
They are equivalent!
Expand AND simplify this expression:
8(4p - 3) + 5(7 + 10p)
82p + 11
Factor both expressions:
4v - 12
21 + 18g
4(v - 3)
3(7 + 6g)
A grocer had 80 pounds of grapes. w pounds of grapes were kept in the fridge. The rest were sold at $3 per pound. What was the amount collected for the grapes sold?
3(80 - w)
5(10r - 3) + (6r - 1)
r = 8
432
Mr. Mason shared a taxi with friends. They evenly shared the fare of $56 among the z of them. Mr. Mason also gave a $10 tip. Find the amount of money Mr. Mason paid in terms of z.
10 + (56/ z)
Expand AND simplify this expression:
3(8s - 5) + 4s - 2
28s - 17
Solve and simplify each expression. Then, factor the expression.
14 - 29t + 5(7 + 10t)
21t + 49
7(3t + 7)