Algebra 1 !!!

Exponential

100

The expression (x³)(x^-17) is equivalent to xⁿ. What is the value of n? 

What is n= -14?

200

The expression (x²²)(x⁷)³ is equivalent to x^p. What is the value of p? 

What is p = 43?

300

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, which expression represents the width of the rectangle in yards?

F) 9x³y²

G) 48x⁶y⁴

H) 9x⁶y⁴

J) 60x¹²y¹²

What is H) 9x⁶y⁴?

400

Which expression is equivalent to (q⁴)^-3/q^-15 for all values of q where the expression is defined?

F) q²⁷

G) 1/q²⁷

H) q³

J) 1/q³

H) q³

500

What expression is equivalent to (45m^-6p²v¹²)/(15m^-2p⁸v^-4) for all values m,p, and v where the expression is defined? 

A) (3v⁸)/(m⁸p⁶)

B) (3v¹⁶)/(m⁴p⁶)

C) (30m³)/(p⁴v³)

D) (30v³)/(m³p⁴)

What is B) (3v¹⁶)/(m⁴p⁶)?

Factoring

100

Which expression is equivalent to m²-13m-30?

F. (m-15)(m+2)

G. (m-10)(m-3)

H. (m+15)(m-2)

J. (m+10)(m+3)

What is F. (m-15)(m+2)?

200

What expression is equivalent to g(x)=x²+15x-54?

F. g(x)=(x+9)(x-6)

G. g(x)=(x+18)(x-3)

H. g(x)=(x-9)(x+6)

J. g(x)= (x-18)(x+3)

What is G. g(x)=(x+18)(x-3)?

300

What expression is a factor of 9r²-4r+1?

F. 3r-1

G. r-1

H. 9r-1

J. There are no real factors

J. There are no real factors

400

Which expression is a factor of 18x²-15x+2?

A) 3x-2

B) 9x-1

C) x-2

D) 2x-1

What is A) 3x-2?

500

What expression is equivalent to 6x²+13x+5?

A. (2x+5)(3x-1)

B. (2x-5)(3x+1)

C. (2x+1)(3x+5)

D. (2x-1)(3x-5)

What is C. (2x+1)(3x+5)?

Simplifying

100

Which expression is equal to -28x²+35x?

F. 7x(4x+5)

G. -7x(-4x-5)

H. 7x(4x-5)

J. -7x(4x+5) 

What is G. -7x(-4x-5)?

200

Which expression is equivalent to √147?

A. 3√7

B. 7√3

C. 21√7

D. 49√3

What is B. 7√3?

300

Which expression is equivalent to √196?

A. 24

B. 8√6

C. 48

D. 4√6

What is D. 4√6?

400

A shoe company is going to close one of its two stores and combine all the inventory in each store:

   Store A: 1/2g²+7/2

   Store B: 3g²-4/5g+1/4

Which expression represents the combined inventory of the two stores? 

A) 7/2g²-4/5g+15/4

B) 7/2g²-4/5g+4/3

C) 7/2g²+4/5g+15/4

D) 7/2g²+4/5g+4/3

What is A) 7/2g²-4/5g+15/4?

500

Which expression is equivalent to (h²+9h-1)(-4h+3)?

F) -4h³-33h²+31h-3

G) 4h³+39h²-23h-3

H) -4h³-39h²+23h+3

J) 4h³+33h²-31h+3

What is F) -4h³-33h²+31h-3?

Evaluating Functions

100

A sequence can be generated by using a_n=4a_(n-1), where a₁=6 and n is a whole number greater than 1. What are the first four terms in the sequence? 

F) 6,24,96,384

G) 6,10,14,18

H) 6,20,100,500

J) 6,20,76,300

What is F) 6,24,96,384?

200

Given that f(x)=1/3(4-x)², what is the value of f(16)? 

What is 48? 

300

Given f(x)= 6(1-x), what is the value of f(-8)? 

What is 54?

400

A baker determined the annual profit in dollars from selling pies using p(n)=52n-0.05n², where n is the number of pies sold. What is the annual profit if the baker sells 400 pies? 

F) $20,780

G) $12,800

H) $28,800

J) $20,760

What is G) $12,800?

500

In a sequence of numbers, a₃=0, a₄=6, a₅=12, a₆=18, a₇=24. Based on this information, which equation can be used to find the n^th term in the sequence, a_n?

A) a_n=-6n+18

B) a_n=-18n+6

C) a_n=6n-18

D) a_n=18n-6

What is C) a_n=6n-18?

Functions/Extras

100

Which one shows y as a function of x?

F. (-13,-2), (-13,0), (-13,5), (-13,7)

G. (-6,3), (-1,-1), (-1,5), (10, -9)

H. (1,4), (3,4), (7,4), (12, 4)

J. (-9,-7), (-2,-5), (0,0), (0,6) 

What is H. (1,4), (3,4), (7,4), (12, 4)?

200

What are the domain and range of f(x)=-37?

A) Domain: All real numbers greater than or equal to -37; Range: All real numbers

B) Domain: {-37}; Range: All real numbers

C) Domain: All real numbers; Range: All real numbers greater than or equal to -37

D) Domain: All real numbers; Range: {-37}

What is D) Domain: All real numbers; Range: {-37}?

300

Which does NOT show y as a function of x? 

F. (1/10, 9), (1/8,11), (1/5, 9), (1/4, 14), (1/2, 7)

G. (14,100), (15,80), (16, 110), (17, 100), (18, 90)

H. (-0.2, 5.8), (0.6, -3.7), (-1.3, 4.4), (1.0,-0.9), (-0.2, 8.1)

J. (-24, 2.7), (21, 2.8), (24, 2.7), (-27, 2.5), (29, 2.5) 

What is H. (-0.2, 5.8), (0.6, -3.7), (-1.3, 4.4), (1.0,-0.9), (-0.2, 8.1)?

400

The dataset below represents some points on a graph of linear function f. 

(-3,-130), (2,0), (5,78), (11,234)

Which function represents f? 

F) f(x)=26(x-2)

G) f(x)=-26(2x-1)

H) f(x)=13(x-2)

J) f(x)=-2(25x-1) 

What is F) f(x)=26(x-2)?

500

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. 

For one day of work, what is the range of the function for this situation?

A) 0<=x<=8

B) 80<=y<=440

C) 0<=x<=10

D) 45<=y<=685

What is B) 80<=y<=440?