Exponents
23
8
Write an algebraic expression for: the sum of two and a number
2 + x
Write an equivalent expression for 6(2x + 2).
12x + 12
Damion has scored 3 times more points in basketball than Tykise. If they won 36 points altogether, how many points did Damion score?
Let t = Tykise and 3t = Damion
t + 3t = 36
4t = 36
t = 9, So Damion scored 27 points.
Is this an expression or an equation?
3x + 4
Expression
43
64
Write an algebraic xpression for: the product of three and the difference between six and a number
3(6 - x)
Write an equivalent expression for 3a(b - 2c)
3ab - 6ac
If x + 5 > 3, is -3 part of the solution set?
No.
-3 + 5 > 3 is not a true statement
What is the coefficient in this equation?
3x + 4 = 10
54
625
Evaluate 2(x + 5) when x = 4
18
Write an equivalent expression for z(3x + 2y + z)
3xz + 2yz + z2
Gabby made 20 more points on her math test than Leanne. If the sum of their scores is 148, what did Leanne make on the test?
Let x = Leanne and (x + 20) = Gabby.
x + x + 20 = 148
2x = 128
x = 64, so Leanne made a 64 on the test.
How many terms are in the expression?
4x + 5 - 12y + 6
4
(1/4)2
1/16
Evaluate 3x - 2xy when x = 3 and y = 4
3*3 - 2*3*4
9 - 24 = -15
Are the expressions equivalent?
-2(3 - 2x) and 6 - 4x
No
If 2x - 4 = 36, is 20 a solution to the equation?
Yes...
2(20) - 4 = 36
40 - 4 = 36 is a true statement
What is the constant in this expression?
4(x - y) + 13
13
109
1,000,000,000
Evaluate (ab - c)2 + 10 when a = 3, b = -1 and c = 4
59
Use the distributive property in reverse to write an equivalent expression for 4y - 8z.
4(y - 2z)
If Macey made $12 more than twice what Joshua made doing her chores and they earned $51 altogether, how much money did Joshua make?
Let j = Joshua and (2j + 12) = Macey.
j + 2j + 12 = 51
3j + 12 = 51
3j = 39
j = 13
Joshua made $13
What property would you use to simplify this expression?
4(2x + y)
Distributive Property