Evaluating
Expressions
Expressions
Like Terms and
Distributive Property
Distributive Property
Identifying
Equivalent Expressions
Equivalent Expressions
Find the Mistake
Using Algebraic Expressions
to Solve Problems
to Solve Problems
100
Evaluate when r = 2
2r^3 - 4
12
100
Simplify by combining like terms:
5g +6y - 2g-y
3g+5y
100
Use substitution to evaluate if the expressions are equivalent:
3(2u+3)
2u + 4u+9
Equivalent!
100
Describe what the mistake is in the following equation:
6(y + 8) = 6y + 8
Did not distribute the 6 to the second term.
100
A large coffee costs $3.50 and a medium costs $2. Adding anything else costs a one time fee of $1.50.
Define variables for this situation.
L = large coffee
M = medium coffee
C = total cost
200
Evaluate when x = 0 and y = 5
2x + 4y
20
200
Simplify by combining like terms:
13f^2 - f + 3f^2 +24f
16f^2 +23f
200
Simplify to evaluate if the expressions are equivalent:
6(k-3)
6k - 9
NOT Equivalent
200
Rewrite the following equation so that it is correct:
6(y + 8) = 6y + 8
6(y + 8) = 6y + 48
200
A large coffee costs $3.50 and a medium costs $2. Adding anything else costs a one time fee of $1.50.
Write an equation to show the cost of buying an unknown number of large and medium coffees, with cream and sugar.
3.50L + 2M + 1.50 = C
300
Evaluate when u = 2
3(5 - u)^2 + 5
32
300
Simplify and combine like terms:
7(4f) + 10f
38f
300
Use substitution to determine if the expressions are equivalent:
5(3f) + 4f
19f
EQUIVALENT
300
Identify the mistake the student made in solving this problem:
The student forgot to keep the negative sign in front of the 5c.
300
A large coffee costs $3.50 and a medium costs $2. Adding anything else costs a one time fee of $1.50.
Evaluate the expression if your group wants to buy 4 large coffees and 3 medium coffees.
3.50(4) + 2(3) + 1.50 = 14+6+1.5 =
$21.50
400
Evaluate when g = 2 and h = 3
(3g)/6 + h^2
10
400
Use the distributive property to create an equivalent expression:
7(g-2p)
7g-14p
400
Is the following expression equivalent to
-2(8x-5)
-16x+10
400
Correctly solve the problem below:
c = 9
400
Shannon works for a shoe store where shoes cost $32 per pair and boots cost $45. She earns a commission of 15% of the price for each pair of shoes and each pair of boots she sells.
Write an expression to show how much commission she earns in a day.
c = commission
s = shoes
b = boots
0.15(32s + 45b) or 4.8s + 6.75
500
What is the value of
4n(n/2)
when n = -8?
What is 128?
500
Simplify and Combine like terms using the distributive property:
5(3x-2)+14
15x+4
500
Use substitution to determine if the expressions are equivalent:
3x^2-12
3(x^2+4)
NOT Equivalent
500
Identify the mistake and correctly solve the problem below:
The negative 4 should have been positive because a
- * - = +
SO, -2x = 10, then x = -5
500
Shannon works for a shoe store where shoes cost $32 per pair and boots cost $45. She earns a commission of 15% of the price for each pair of shoes and each pair of boots she sells.
Evaluate your expression if she sells 4 pair of shoes and 2 pair of boots.
0.15(32*4 + 45*2) = 0.15(128 + 90)
0.15(128 + 90) = 0.15(218) = 32.7
=$32.70