Algebra 1 EOC Courses Semester 2 Review semester two review
Use the formula sheet on the last pages.
1. Choose the equation that matches…
A. Four more than twice a number x is 20.
r. 4(2 x) = 20
s. 4 > 2 x + 20
t. 2 x − 4 = 20
u. 2 x + 4 = 20
B. Four less than twice a number x is 6.
r. 4(2 x) = 6
s. 4 > 2 x − 6
t. 2 x − 4 = 6
u. 2 x + 4 = 6
2. Translate and solve: "Five less than twice
a number is equal to 100."
Translation: _________________
Solution: ______
3. Translate and solve: "Six more than three
times a number is equal to 90".
Translation: ________________
Solution: ________
4. Find the next term in the pattern:
6. For each equation, find the value of x.
A. 2 x − 4 = 90
B.
28 = 8 + 2 x
C. 9 x − 2( x + 4) = 34
D. 10 x + (2 + 8 x) = 4
7. What is the simplified form of each?
a. − 2( x + 3 y ) − x
b. 4(3 + 5 x) − 2(3x + 2)
8. Solve the inequality:
4( x + 1) < 2( x + 6)
a. x < 2
c. x > 2
b. x < 4
d. x > 4
A. -0.8, -0.5, -0.2, 0.1 _______
B. 1,
3
5
, 2, , 3 _______
2
2
C. -1, 1, -1, 1, -1 ______
9. CHECK (√ )each point which satisfies the
inequality y ≥ x + 6 .
A. ( 0, -1) ____ B. (5, 1) ____
C. (13, 5) ____ D. (-2, -10) ____
D. 9, −45, 225, _______
5. What is the simplified version of
5( x + 7) + 4( x 2 − 8 x + 14) ?
A. 9 x3 − x 2 + 21
B. 4 x 2 − 32 x + 49
C. 4 x 2 − 8 x + 49
D. 4 x 2 − 27 x + 91
10. Jonathan said "I am thinking of a
number that is more than 2 but not more
than12." Which inequality says this, for
his number n?
A. 12 < n < 2
B. 2 < n < 12
C. 2 < n ≤ 12
D. 2 ≤ n ≤ 12
Algebra 1 EOC Courses Semester 2 Review semester two review
A. −
C.
7
8
8
7
18. Which is an acceptable first step to solve
the equation
−2 x = 12 ?
A. Add 2 to both sides
B. Subtract 2 from both sides
C. Multiply by -2 on both sides
D. Divide both sides by -2
E. Ask for a clinic pass
7
?
8
11. What is the reciprocal of
B. 7
D. 8
12. One side of a square has length
3n − 4 . What is the perimeter of
the square?
19. Which is an acceptable first step to solve
the equation
2( x + 3) = 12 ?
A. Add 3 to both sides
B. Subtract 3 from both sides
C. Distribute the 2 on the left
D. Multiply both sides by 2
13. A triangle has side lengths 2 x − 1 ,
4 x + 5 and x + 6 . What is the perimeter
of the triangle?
14. A rectangle has length 3n − 10 and
width n + 6 , tell the perimeter of the
rectangle.
15. A square has one side 6x 3 y 5 . What
is the area of the square?
16. A rectangle has length 2x3 y 4 and
width 8xy 5 . What is the area of the
rectangle?
17.
y
4
3
2
1
x
−4
−3
−2
−1
1
2
3
−1
−2
4
5
Choose
the
inequality
for the
solution
shown.
−3
−4
A. y > −2 x + 2
C.
1
y <− x+2
3
1
x+2
2
1
D. y ≥ − x + 2
2
B. y ≤ −
20. Which is an acceptable first step to solve
the equation
x − 12 = 2 ?
A. Add 12 to both sides
B. Subtract 12 from both sides
C. Multiply by 12 on both sides
D. Divide both sides by 12
21. Match: Put a number for each blank.
___
___
___
___
___
A. 890000
B. 0.000089
C. 0.089
D. 8900
E. 89000
1.
2.
3.
4.
5.
6.
7.
8.9 × 10 4
8.9 × 10 −5
8.9 × 10 −4
8.9 × 10 3
8.9 × 10 −3
8.9 × 10 −2
8.9 × 10 5
22. Joey and Samantha sold magazines for
$2 each and books for $8 each in a
fund-raiser and they collected $98 . They
sold a total of 16 items.
M + B = 16
2M + 8B = 98.
The solution to this system is (5, 11).
Tell what the 5 means ___________
Tell what the 11 means.__________
Algebra 1 EOC Courses Semester 2 Review semester two review
23. The sum of two numbers is 200 and the
difference is 50. Find the two numbers.
24. You buy four candles and three
matches for $34. For two candles and
one match, the cost is $16. Choose a
system of equations to find the costs of
matches and candles.
A.
5c + 3m = 34
2c − 1m = 16
4c(3m) = 34
C.
2c(m) = 16
B.
5c + 3m = 34
2c + m = 16
4c + 3m = 34
D.
2c = 1m + 16
28. If you solve an equation and get 4=4 as a
last step then what is true?
A. The equation has two solutions, 0 and 4.
B. The equation has no solution.
C. The equation has an infinite number
of solutions.
D. The equation has one solution and it is
either is 0 or 4.
29. What is the value of the expression
5 x 2 − 3x + 10 if x = 9 ?
A. 2008
B. 388
C. 73
D. 442
30. What is the simplified form of
6 y 5 (7 xy 2 z10 ) ? ______________
⎧ y = 5 x − 2
25. Solve the system: ⎨
⎩ x + y = 16
The value of x is ____.
The value of y is ____.
26. If you solve an equation and get x=4 then
what is true?
A. The equation has an infinite number
of solutions and 4 is one solution.
B. The equation has no solutions.
C. The equation has 4 solutions.
D. The equation has one solution.
27. If you solve an equation and get 4=0 as a
last step then what is true?
A. The equation has two solutions, 0 and 4.
B. The equation has no solution.
C. The equation has an infinite number
of solutions.
D. The equation has one solution and it is
either is 0 or 4.
31. What is the simplified form of
(8a bc )(5 abc )(4a bc ) ?
2
4
2
6
A. 20a 7bc11
C. 800a 6b3c11
3
B. 800a 6b3c 24
D. 37a 6b3c11
32. Janine has a theory. She says my cell
phone C will cost 15 dollars times the cube
of my age in years y. Which equation is
Janine's theory?
A. C = (15 y)3
B. C = 15 y 3
C. C = 15t
D. C = 15t (3)
(18x ) ( 4 x )
5
33. Simplify:
A. 16x3
C. 16x 4
8x2
B. 9x3
D. 9x 4
34. What is the factored form of x 2 − 8 x + 16 ?
r. ( x − 4)( x + 4)
t. ( x + 4)2
s. ( x − 8)( x − 2)
u. ( x − 4)2
Algebra 1 EOC Courses Semester 2 Review semester two review
0
−3
1
−2
37B.
35. Which equation below could generate
the table of values above ?
A. y = 4 x + 2
B. y = x 2 − 3
C. y = − x − 3
D. y = 2 x
Powers
of 7
71
72
73
74
75
76
77
36.
Last digit
of the answer
7
9
3
1
7
9
3
What is the total area of the
diagram above? ____________
What is the perimeter of the diagram
above? _______________
Study the pattern above. 73 = 343
which has last digit 3. The last digits
are listed for a few powers of 7.
What would be the last digit of 716 ?
A. 1
B. 3
C. 7
D. 9
y vs x
37A.
x+3
x+2
-1
−2
x
y
38. Factor each trinomial below.
A. x 2 − 4 x − 60
r. ( x − 12)( x + 5)
s. ( x − 20)( x + 3)
t. ( x − 10)( x + 6)
u. ( x − 15)( x + 4)
B. x2 + 3x + 2 ____________
y
20
C. x2 + x − 30 ____________
10
x
−8
-8
−7
−6
-6
−5
−4
-4
−3
−2
-2
−1
1
2
2
3
44
5
6
6
7
88
-10
-20
The graph of y = x 2 + 2 x − 24 is
shown. What is the solution to the
equation x 2 + 2 x − 24 = 0 ?
A. x = −1, x = −25
B. x = 4, x = −6
C. x = 1, x = 25
D. x = −4, x = 6
39. Choose the prime factors of each
binomial below.
A. 4 x2 − 49
r. 2 x + 7, 2 x − 7
s. 2, x − 7, x + 7
t. 4, x − 7, x + 7
u. 2 x − 24.5, 2 x + 24.5
B. 5 x 2 − 45
r. 5 x, x − 9
t. 5 x + 9, x − 5
s. 5, x − 3, x + 3
u. x − 5, x 2 + 9
Algebra 1 EOC Courses Semester 2 Review semester two review
40. Simplify to lowest terms:
x−2
x−3
2
C. −
3
A.
x −1
x−2
x+2
D.
x −3
x 2 − 5 x − 14
x 2 − 10 x + 21
B.
41. What are the zeros of the quadratic
modeled by the function rules below?
A. f ( x) = ( x − 8)( x + 2) ______
B. f ( x) = ( x + 4)( x + 5) ______
42. A quadratic equation f ( x) = 0 has roots
16 and -5. Write the correct function
rule associated with the roots.
f ( x) = (_______)(________)
1
2
1
2
43. Simplify: 5 × 5 .
A. 10
B. 25
1
C. 5 4
D. 5
44.