Evaluate & Simplify Expressions
Evaluate if x = 2, y = -4, z = 6:
x - yz
2 - -4(6)
2 - -24
2 + 24
26
3 - a = 2
-1a = -1; a = 1; {1}
Mabel bought 1 package of strawberries for $3. How many can Dion buy with $12?
1 pack/$3 = x packs/$12 ; x = 4 packages
2/((1/4))
A = 2(7) = 14 cm2
Evaluate if x = 2, y = -4, z = 6:
(x - z)2
(2 - 6)2
(-4)2
(-4)(-4)
16
-5(2 + 3x) = -85
2 + 3x = 17; 3x = 15; x = 5; {5}
Find the unit rate: 140 miles in 2 hours
70 miles per hour (in 1 hr)
(1/4)/(2)
1/8
Find the area of a square with a side length of 5 yd. (A = s2)
A = 52 = 5(5) = 25 yd2
Evaluate if x = 2, y = -4, z = 6:
(y + x)/(z)
(-4 + 2)/6
-2/6
-1/3
Translate into an equation, do not solve:
At Chick-Fil-A, 3 people ordered kids' meals and milkshakes. If the milkshakes cost $4.99 each, and if the total was $37.74, what was the cost of one kids' meal?
x = cost of kid's meal;
3(x + 4.99) = 37.74
(1 5/6)/(5/9)
33/10
Find the volume of a rectangular prism with length 3 m, width 4 m, and height 5 m. (V = LWH)
V = 3(4)(5) = 60 m3
Simplify: 4x - 4x
0
Read is as... x < -15, x is less than -15; open circle on -15, shading to left
Proportional or not? (1,4), (2,6) (3,8) (4,10)
No, not proportional; y/x not always same
(1 1/3)/(1/4)
16/3
If the perimeter of a square is 48 inches, what is one side length? (P = add all sides)
48 = 4x --> x = 12 in.
Simplify: -9(1 - 2x) + 4
-9 + 18x + 4; 18x - 5
Solve and graph:
x/(16) > -17
x > -272; x is greater than -272; open cirlce on -272, shading to right
(1 1/(2))/3 = x/6
x = 3
(4 2/3)/(2)
7/3
36 = 2(6)x --> 36 = 12x --> x = 3 ft