Chapter 2 Review Algebra I
Dec 31, 2015
Chapter 2 Review
Algebra I
Use Order of Operations to Solve
-2 – (7- 3) ÷ 4
-2 – (4) ÷ 4
-2 – 1
= -3
Simplify each expression
(5x • 3) – 4x + 7
= 15x – 4x + 7
= 11x + 7
Evaluate each expression
a = 1, b=7, and c = -2
3a + ab – c
= 3(1) + 1(7) - -2
= 3 + 7 + 2
= 12
Use replacement set to solve
C = {10, 11, 12, 13}
+ 7 = 12
C = {11}
Determine whether each pair of ratios forms a proportion.
, ,
336≠312 648 = 648
No yes
Solve for x.
-5 = x + 9
X = -14
Solve for x.
x + (-4.2) = 8.6
X = 12.8
Solve for x.
x + (-5) = -2
X = 3
Solve for x.
X – (-⅝) = ¾
X = ⅛
-4a – 1 = -1
-4a = 0
a= 0
-2t + 4 = 10 – t
-t = 6
t = -6
11 = ½ b – (-3)
8 = ½ b
16 = b
b = 16
-2( t -2) = 10 – t
-2t + 4 = 10 – t
-t = 6
t = -6
Solve the ratio
=
5h = 72
H = 14.4
Solve abstractly
7x – c = b Solve for x.
7x = b + c
x = b + c
7
Write and solve the equation that corresponds to the statement.
The sum of y and negative 3 is five.
Y + (-3) = 5
Y = 8
During one week, Damon made deposits in his checking account of $532.40 and $450.98. He wrote a check for $837.75. By how much did his account increase or decrease during the week?
$532.40 + 450.98 - $837.75
= $145.63 increase
The sum of two consecutive integers is 125. Find the integers.
x + x + 1 = 125
2x + 1 = 125
2x = 124
X = 62
The integers are 62 and 63.
Find the principal when the interest is $300 at 5% rate over 5 years.
I = prt
300 = p (5%) (5)
300 = .25 p
1200 = p
P = $1200
At the Central Perk coffee shop, Destiny sold 30 more cups of espresso than Cappuccino, for a total of $163.50 worth of the drinks together. How many cups of each were sold.
2(x + 30) + 2.5x = 163.50
2x + 60 + 2.5x = 163.50
4.5x = 103.50
X = 23 cappuccino and 53 espresso
Coffee Number Cost per cup Value
espresso X + 30 $2.00 2(x + 30)
cappuccino x $2.50 2.5 x
total 163.50