Algebra 1 Final Project

Solving Equations

100

-4x=24

A=20

B=-20

C=6

D=-6

D=-6

150

Solve: 6(5x - 3) + 2 = 14

A 2

B 5

C -1

D 1

D 1

200

Solve: 

2(2x + 3) = -6(x + 9)

A 1.2

B 6

C -6

D 7.5

C -6

250

Solve:
4x + 5x = 27

A 27

B 3

C -27

D 0

B 3

300

Solve

x/6 = 5

A 30

B 5/6

C 36

D 9

A 30

350

Solve:

x/4 + 9 = 11

A 8

B 2

C .5

D -8

A 8

400

Solve:

 -7/8 = m - 3/8.

A -5/4

B 1/2

C -1/2

D 5/4

C -1/2

450

Solve:
2(2t - 3) = 6(t + 2)

t=9

t=4

t=-9

t=-3

t=-9

500

Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

A The student found an incorrect common denominator

B The student did not multiply all terms by the common denominator

C The student did not use opposite operations appropriately

D The student did not correctly eliminate the variable from one side of the equation

B  The student did not multiply all terms by the common denominator

Domain and Eange

100

X-(-4,-3,-2,-1,0,1,2)

Y-(7,6,5,4,3,2,1)

Domain: {-4, -3, -2, -1, 0, 1, 2}

Range{1,2,3,4,5,6, 7}

150

For the function {(0,1),(1,-3),(2,4),(4,1)}, write the domain and range.

D: {1,-3,4}

R:{0,1,2,-4}

D:{0,1,2,-4}

R:{1,-3,-4}

D:{0,1,2,3,4}

R:{1,-3,-4}

Correct Answer: 

D:{0,1,2,-4}

R:{1,-3,-4}

200

Which set of coordinates describe a function?

A {(2,4),(-2,7),(6,2),(-2,8)

B {(7,2),(3,9),(3,10),(-1,7)}

C {(7,-4),(3,-3,),(2,-2),(7,-8)

D {(6,3),(-6,4),(4,0),(1,2)}

D {(6,3),(-6,4),(4,0),(1,2)}

250

X  Y              What is the range shown in this table?

1  -7

2  -5

3   3

4   7

5   2

(-2,3,7)

300

Identify the range of the following relation:

x -6 0 2 4

y 14 32 38 44 

A {-6, 14, 2, 28}

B {-6,14, 0, 32, 2, 38, 4,44}

C {-6, 0, 2, 4}

D {14, 32, 38, 44}

D {14, 32, 38, 44}

350

What is the range of this relation?

(–8,–3)

(–3,–8)

(–1,6)

(4,2)

A{-3,2,6,8}       C{-8,-3,2,6}

B{-8,-3,-1,4}    D{-3,2,6}

C{-8,-3,2,6}

400

What is the domain of this relation?

(–4,4)

(8,–1)

(9,–9)

(1,2)

(1,8)

A {-4,1,8,9}   C {-4,1,2,8,9}

B {-9,-4,1,8}  D {-9,-1,2,4,8}

A {-4,1,8,9}

450

What is the range of this relation?

(8,9)

(2,6)

(–9,0)

(7,–7)

(7,–8)

A {-8,-7,2,6,9}       C {-8,-7,0,6,9}

B {-9,2,7,8}           D {-9,0,6,7,9}

 C {-8,-7,0,6,9}

500

What is the range of this relation?

(–5,8)

(–6,2)

(2,5)
(–2,8)
(2,–6)

A{-6,2,5,8}  C{-6,-2,2,5)

B{-6-5,5,8}  D{-6,-5,-2,2}

A{-6,2,5,8}

Solving systems by Elimination

100

Solve by elimination:
4x+9y=28
-4x-y=-28

A (-7,0)

B (6,0)

C (-6,0)

D (7,0)

D (7,0)

150

Solve by elimination:
3x+7y=23
-3x-7y=-17

No solution

ARN

(-3,3)

(3,3)

No solution

200

Solve by elimination:
-9x-4y=-20
5x+4y=4

A (-4,4)

B (4,4)

C (4,-4)

D (-4,-4)

C (4,-4)

250

Solve by elimination:
4x+4y=4
3x+4y=10

A (7,-6)

B (-6,7)

C (6,7)

D (7,6)

B (-6,7)

300

Solve by elimination:
-x+2y=17
2x+2y=-10

A ARN

B (-9,4)

C (-9,-4)

D (9,-4)

B (-9,4)

350

Solve by elimination
4x-6y= -6
-2x-12y= -12

A (0,1) 

B (1,0)

C (1,1)

D (2,1)

A (0,1)

400

Solve by elimination
2x+9y= -7
6x-3y= 9 

A (-1, -1) 

B (2,-1)

C (1,1)

D (1,-1)

D (1,-1)

450

Solve by elimination
-6x+y= -2
-3x-6y= 12

A (2,0)

B no solution 

C (0,-2)

D infinite solutions 

C (0,-2)

500

Solve by elimination
-12x-10y= 0
 6x+5y= -1

A infinite solutions

B (0,0)

C no solution 

D (2,1)

C No solution

Exponent Rules

100

5x^9.-6x²

      ^{(.) Multiplication^}

A -30x11

B -30x18

C -x11

D -x18

A -30x11

150

(-15x²yz⁴)⁰

A -15x²yz⁴

B 1

B 1

200

15y² . (2y)³

A 120y⁵

B 120y⁵

C 30y⁵

D 30y⁶

A 120y⁵

250

Simplify

y¹⁰/y^-5

y¹⁵

300

Rewrite using a positive exponent.

2w^-13

2/w¹³

350

Simplify:

(2x4y5)(-3x2y7)

-6x⁶_y¹²

400

Simplify.
s-5 ⋅ s-2

1/_s⁷

450

Simplify:  8(x⁴)^1/2

8x²

500

Simplify: (s²r^-4)(s⁶r^-2)  

s⁸/r⁶

Expotential Equations

100

y=a(b)^x   In an exponential function, what does the 'a' represent? 

Y-Intercept

150

What is a, the starting term, for the function: f(x) = 300(1.16)x?

300

200

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y=15(1.35)^x

250

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

300

20x⁷/10x⁵

2x²

350

Simplify the following exponential expression:
(3x⁴)(5x³)

15x⁷

400

(2x²y⁴)³

8x⁶y¹²

450

Which is an exponential function?

A y = mx + b

B y - y1 = m(x - x1)

C y = ab^x

C y=ab^x

500

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y=6(1.14)^x