ALGEBRA 1 REVIEW FOR 2nd SEMESTER FINAL 1) Evaluate with substitution for a = 5, b = 12, and c = 2. 2b ÷ c + 3a
b2 – 4a 2 and 3) Order of operation ‐ Evaluate 6[3 ( 7 + 4) – 2 ] 2
2
2
27 [ 5 ÷ (4 + 3 ) + 2] 4 and 5 and 47) Solve x/3 – 9 = 0
a – 4a =2a + 1 – 5a 3 4
4 5
6
6) A child who is 3 feet tall cast a shadow of 60 inches. A tree nearby cast a shadow of 8 feet. How tall is the tree? 7 and 8) Pythagorean Theorem – find the missing length
10
12
6
5
9, 10, 11 and 48) Solve the inequality for the given variable and graph – (6b – 2) > 0 10 > 3 ( 2n – 1) – 5 ( 4n + 3) 12‐16) Simplify 2
(70n‐3) (n5)2 5
3
12
17) Simplify radicals √18 √2 2√12
7√3
ALGEBRA 1 REVIEW FOR 2nd SEMESTER FINAL 18 and 19) Solve for variable in the formula 2
Solve for r:
Solve for b: a2 + b2 = c2
20) Consecutive integers The sum of three consecutive odd integers is ‐87. What are the integers? 21 and 26) Graph movements Tom graphed y = 3x2 + 4 and then he graphed y = x2 – 3. Explain how the graphs will look different. 22) Graphing linear inequalities y < ¼ x – 1
4x – 4y < 8 23 and 24 and 32) From the points ( ‐ 2, 6) and ( 5, 1) create the following: a. An equation in point‐slope form. b. An equation in slope‐intercept form. c. An equation in standard form. 25a and 31) Create an equation from the following table: x
y
60
10
90
15
120
20
150
25
25b and 33) Given these 2 lines, tell whether they are parallel, perpendicular or neither. 3x – 5y = 3 and ‐5x + 3y = 8 27) Scatter plot 28) TC word problem 29) interpret y intercept 30) Pick which company is better value 34) Solve using quadratic formula y = 2x2 + x ‐ 3
ALGEBRA 1 REVIEW FOR 2nd SEMESTER FINAL 35 ‐ 37) Factor q2 + 2q + 1
9k2 – 25
3
2
6x + 3x + 8x + 4 38) Probability There are 29 students in your Algebra class, three of them are wearing yellow and seven are wearing red. The rest of the students are wearing plaid. Suppose the teacher picks a student at random, what is the probability that the student is not wearing red. 39) Combined Probability Using the above Algebra class what is the probability of selecting red and then yellow, without replacement ( P (red then yellow)). 40‐42) In the below series, find next 2 terms , state the formula for the nth term, and then find the 100th term. 216, 212, 208, 204, . . .
16, 21, 26, 31,. . . 43) Graph numbers including irrational Place the following numbers on the correct location on the number line.
‐1.3, , 2/5, 0, (.4)2, √17
44) System of equations. Solve in the method of your choice. 24x + 2y = 52 6x ‐ 3y = ‐ 36 45) Train problem Joe drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 ¼ hours. Write and solve an equation to find the time Joe spends driving to work. 46) Function rule 49) Simplify √48 50) Rationalize the denominator √
