+
Algebra 1 Midterm Reivew
+TRANSLATE EACH SENTENCE: “5 times a number minus 4”
Three less than a number is 14
The sum of 4 times a number and negative 3€
5x − 4
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x − 3 =14
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4x + (−3)
+Find the value of each expression:Order of Operations
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4(5 − 3) −12
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4 + (36 ÷ 9) − 3• 4
PEMDAS
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4(2) −12
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8 −12
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−4 €
4 + (4) − 3• 4
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4 + (4) −12
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8 −12
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−4
+Evaluate each expression if r = 8 and s = -5.
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2(r + s)r
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−3(2s − r2)s −2r
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2((8) + (−5))(8)
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2(3)(8)
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=68
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=34
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−3(2(−5) − (8)2)(−5) −2(8)
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−3(−10 −64)(−5) −2(8)
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−3(−74)(−5) −2(8)
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222(−5) −16
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222−21
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−747
+Name the property shown by the statement:
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(2 + 3) + 4 = 2 + (3+ 4)
ASSOCIATIVE
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5 • 4 = 4 • 5
COMMUNATIVE €
x + y = y + x
COMMUNATIVE
+Simplify each expression
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2(3k + 4 j) − 3k
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4(a −2b) − 3(2a+5b)
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6k +8 j − 3k
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3k +8 j
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4a −8b −6a −15b
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−2a −23b
+Distance traveled d equals the product of the rate r and the time t. Given the rate and time traveled, find the distance traveled:
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d = r • t1. Rate = 15 miles per hour 2. Rate = 36 miles per hour Time = 3 hours time = 1.5 hours
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d = (15)(3)
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d = 45miles
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d = (36)(1.5)
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d = 54miles
+The numbers 1-6 were put into a coffee mug and pick out one at a time and then replaced after being picked. The table below shows how many times each number was picked.
How many times was a number greater than 3 picked?
8
Which number was picked the most frequently? 2
If you lost the game every time you picked a number fewer than 5, how many times did you lose?
15
+Annie buys a pair of pants for $25 and several t-shirts for $8 each. Write an expression for her total cost if she buys n t-shirts.
+Which of the following statements is true?1. 2.
3. 4.
+Name the ordered pair for each letter, and what quadrant:
+Which quadrant is each letter in?
+Find the sum of
+Simplify
+Evaluate when x = -6 and y = -4
+Over seven years, the number of books in a school library increased from 1160 to 2000. What was the average change in the number of books in the library for each of the seven years?
+Solve
+Solve
+What is the value of t in each equation: 1. 2.
3. 4.
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45t = −3
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23t = −16
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92t = 27
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45t = 40
+Which value of “n” makes each equation true:1. 2.
3. 4.
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6n −8 = 3n +12
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n +2 = 3n −5
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4n = 3n −11
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−8 = 3n +6
+Evaluate each function if a = 4, b = -1, and c = -2
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(−2ab) ÷ 3a
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(4ac) ÷ (3bc) − 4
+Solve each equation: 1. 2.
3. 4.
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2x + 3 = −4
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x − 7 = −11
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3x − 4 = 2
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3x +6 = 5x − 4
+Solve each absolute equation:1. 2.
3. 4.
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x −5 = 2
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a+ 7 = −11
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x −10 = 4
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x +8 = 0
+Which of the following is the graph of ?
+Which of the following is the graph of ?
+Do the following percent problems:
1. What is 70% of 135 2. What percent is 48 of 96
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isof=%100
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x135
=70100
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70(135) =100x
x = 94.5€
4896=x100
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96x = 48(100)
x = 50%
+What is the slope of each graph:
-2
3
m = -2/3 m = 1
+What is the y-intercept of the graph of each equation:
1. 3x – 6y = 12 2. x + 5y = -25To find the y-intercept, you plug in ZERO FOR X
3(0) – 6y = 12 -6y = 12 -6 -6
y = -2
(0,-2)
(0) + 5y = -25 5y = -25 5 5
y = -5
(0,-5)
+Determine the slope of the line through points given: 1. (4,-8) and (3,6) 2. (0,5) and (-3,-
2)
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m =y2 − y1x2 − x1
=6 − −84 − 3
=141=14
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m =y2 − y1x2 − x1
=−2 −5−3 −0
=−7−3=73
+Graph each equation: 2x – 4y = 12 x + 3y = -9I WOULD GRAPH USING X AND Y INTERCEPTS
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