Algebra 1 final

What is the x-intercept on the graph of the equation 3x + 6y = -18? Write your answer as an ordered pair with no spaces . [lank1]

(-6,0)

What is the y-intercept on the graph of the equation 4x + 8y =-24?Write your answer as an ordered pair with no spaces . [lank1]

(0,-3)

Solve this system by graphing.y= - 0.5x + 4.5y = x + 3

(1, 4)

What is the solution? Write your answer as a coordinate with NO spaces. Ex (4,5)

(1,-1)

Solve the system by substitution. Type your answer as an ordered pair with no spaces. Example: (-4.5,7) - x + y = -1 6 x - 2 y = 6 [lank1]

(1,0)

What is the x-intercept on the graph of the equation y =-2/3x + 8? Write your answer as an ordered pair with no spaces . [lank1]

(12,0)

Solve the system by substitution. Type your answer as an ordered pair with no spaces. Example: (-4.5,7) 6 x - y = 11 y = -8 x + 17 [lank1]

(2,1)

Solve this system by graphing. y = 2x - 7y = - 3x + 8

(3, -1)

Solve the system by substitution. Type your answer as an ordered pair with no spaces. Example: (-4.5,7) -3 x - 4 y = 16 y = 4 x - 23 [lank1]

(4,-7)

Solve the system by substitution. Type your answer as an ordered pair with no spaces. Example: (-4.5,7) x - 2 y = -5 -6 x + 2 y = -20 [lank1]

(5,5)

Solve the following inequality. 3x - 4 > 11

(5,∞)

Solve the following inequality. 2x - 5 > 7

(6,∞)

Identify which of the following would be a solution for the system:6x - 10y = 4 x + y = 14

(9,5)

Solve the equation: 9 - 15x = 28 + 4x Enter a number answer only. Do NOT enter x =

-1

Find the slope of the line through each pair of points. Type your answer as a fraction with no spaces. (Example: 2/3) (-2, 6)(10, -5)

-11/12

Solve the equation: -8x - 5 = -6x + 25 Enter a number answer only. Do NOT enter x =

-15

Solve the equation 3.5x - 15 = -22. Enter a number answer only with no spaces. Do NOT enter x=

-2

Solve the following equation: -8x - 7x = 30 Enter the number answer only. Do NOT enter x=

-2

Solve the equation -35 = 5(t - 4). Enter a number answer only. Do NOT enter t=

-3

Solve the equation: 9x - 7 = - 4x - 46 Enter a number answer only. Do NOT enter x =

-3

Solve the equation: 3x - 7 = 5x + 1 Enter a number answer only. Do NOT enter x =

-4

Solve the following equation for x: -1 - (7x + 5) = 10 - 3x Enter a number only. Do NOT enter x =

-4

What is the coefficient in the monomial -4x 5 ?

-4

Evaluate the function. g(x) = 2x + 5; Find g(-5). Write a number answer only.

-5

Solve the following equation for b: -18 + 8b = 7(b - 4) + 5 Enter a number only. Do NOT enter b =

-5

Solve the following equation for b: 7(b - 2) = -19 + 6b Enter a number only. Do NOT enter b =

-5

Solve the following equation for p: 10 - 7p = -(8p - 5) Enter a number only. Do NOT enter p =

-5

Write an explicit rule for the following sequence. Be sure to write the expression in simplest form using the variable n and with no spaces. Do NOT enter the part. Only the formula such as 2n-1. 8, 3, -2, -7, -12, ...

-5n+13

Find the slope of the line through each pair of points. Type your answer as a fraction or a decimal. (-8, -2), (2, -9)

-7/10

Solve the equation Enter a number answer only. Do NOT enter x= . Round any decimal answer to the nearest hundredth.

.64

Solve the following equation: 6(-3r + 4) = 24 Enter a number answer only. Do NOT enter r=

0

Solve the system using elimination: 2x + 4y = 7 2x - 4y = 7. What is y ?

0

Find the slope of the line. Write the simplified answer. x - y = -1

1

Allie is in a bowling tournament that consists of 5 games. She has already bowled 4. Her scores for the 4 games were 220, 245, 270, and 280. What does Allie need to bowl for her 5th game to get an average score of 260?

285

Write the sixth term of the sequence represented by the following: {4n + 5}

29

Solve the system using elimination: (If you type your answer as a fraction, make sure it is REDUCED) 4x + 3y = 3 4x - 3y = 3.

3/4

Find the slope of the line. Write the simplified answer. 3x - 5y = 0

3/5

Company A rents copiers for a monthly charge of $90 plus 6 cents per copy. Company B rents copiers for a monthly charge of $180 plus 3 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

3000

You invest in a company that purchases T-shirts and resells them for a profit. You invest $150 and sell each shirt for $8.25. If you sell 23 shirts, what is your profit? Enter a number answer only.

39.75

Write the standard form of the equation for the line. y=-3x-5

3x + y = - 5

Solve the equation 3(x +5) = 27. Enter a number answer only. Do NOT enter x=

4

Solve the following equation for m: -10m + 36 = 2(-m + 2) Enter a number only. Do NOT enter m =

4

Adam loves riding long distances on his bike. He calculates his distance in miles per hour by the polynomial . Given x is the number of hours and Adam bikes for 3 hours, how many miles will he have gone? Enter a number answer only.

45

Solve the equation 4x + 12.7 = 32.7. Enter a number answer only. Do NOT enter x= .

5

What is the exponent in the monomial -4x 5 ?

5

Find the slope of the line through each pair of points. Type your answer as a fraction. (-14, 10), (-3, 15)

5/11

A tree is 24 inches tall when it is planted. After 6 months, it is 60 inches tall. What was the rate of growth per month in inches? Enter a number answer only.

6

To rent a cabin, a resort charges $84 plus $9.75 per person. If you spent $142.50 for the cabin, how many people were using it? Enter a number answer only.

6

Write an explicit rule for the following sequence. Be sure to write the expression in simplest form using the variable n and with no spaces. Do NOT enter the part. Only the formula such as 2n-1. 7, 13, 19, 25, 31, ...

6n+1

Find f(4) when f(x) = x 2 - 3x + 3.

7

The formula for finding the perimeter of a rectangle is 2L + 2W. If a rectangle has a length that is 2x and the width is 3x + 2, write the simplified expression for the perimeter of the rectangle.

10x+4

Amy studied the sales of 2 types of cars in the months of October, November, and December represented by the polynomials: Given x is the number of months, how many more SUV's than convertibles were sold in the 3 month period? Write a number answer only.

111

Sally studied the sales of 2 types of cars in the months of October, November, and December represented by the polynomials: Given x is the number of months, how many SUV's were sold in the 3 month period? Write a number answer only.

128

The difference between a small and large integer is 28. The large integer is three times as great as the small. What is the small integer? Write your answer as a number only.

14

If -16 is added to a number and the sum is doubled, the result is 17 less than the number. What is the number? Write your answer as a number only.

15

A cab company charges a $6.00 fee to pick up a fare plus $0.20 per mile. If you pay the cab driver $9.40, how many miles did you go? Enter a number answer only.

17

A school can order boxes of 15 pens OR packages of 6 pens. If the school orders an unknown amount of boxes along with 3 packages and the school receives a total of 288 pens, how many boxes were ordered? Enter a number answer only.

18

Kristina is planning to spend $85 on birthday gifts for her friend. She wants to buy her friend store and restaurant gift cards. If Kristina buys 2 store cards worth $15 each, then how many $20 restaurant cards can she buy? Enter a number answer only.

2

Solve the equation: 5x + 2 = -x + 14 Enter a number answer only. Do NOT enter x =

2

What is the exponent in the monomial 9b 2 ?

2

Sean is in a bowling tournament that is bowling 5 games. So far he has bowled scores of 235, 250, 240, and 280. What does he need to bowl his 5th game to average a score of 245?

220

Billy studied the sales of 2 types of cars in the months of October, November, and December represented by the polynomials: Given x is the number of months, how many more SUV's were sold than Convertibles?

239

A car rental company charges a fee of $30 plus $0.45 for each mile driven. If you pay the company $61.95, how many miles did you drive? Enter a number answer only.

71

Write the thirteenth term of the sequence represented by the following: {6n - 2}

76

How old am I if 100 increased by 4 times my age is 132? Write your answer as a number only.

8

You invest in a company that purchases T-shirts and resells them for a profit. You invest $180 and sell each shirt for $10.25. If you sell 26 shirts, what is your profit? Enter a number answer only.

86.50

Subtract: 5x 7- ( - 4x 7)

9x7

Mary sells lawn and garden equipment. She earns $390 base pay plus $33 per item sold. Express Mary's gross profit (P) as a function of the number of (x) items sold.

P(x) = 33x + 390

Mary sells lawn and garden equipment. She earns $420 base pay plus $45 per item sold. Express Mary's gross profit (P) as a function of the number of (x) items sold.

P(x) = 45x + 420

Identify the inequality or equality that describes the following situation.Ginnie is over 60 years of age.

x > 60

Solve the following inequality. 3 - 3x < 21.

[-6,∞)

Solve the inequality

[6, oo)

A scatter-plot is drawn of the number of visitors that visit Rocky Mountain National Park on a given day. Would the number of visitors be a better choice for the dependent or independent variable? Type the letter of your answer in the blank without using spaces. a. dependent b. independent

a

Which of the following is the rule for the nth term of the arithmetic sequence -5, -2, 1, 4, 7, ...?

an = -5 + 3(n - 1)

Which of the following is the rule for the nth term of the arithmetic sequence 8, 19, 30, 41, 52, ...?

an = 8 + 11(n - 1)

Jaycee is collecting aluminum cans. She collects the same amount of cans each week. After week 2, she had 98 cans. At the end of 3 weeks she had 141 cans and after week 5, she had 227 cans. What type of sequence does this situation represent and model the situation with a sequence formula

arithmetic, an = 43n + 12

Add: 5a 2b+7ab 2

can't be simplified

Is the slope of the following line positive, negative, zero, or undefined? y = -2x + 3

negative

Determine whether the lines are parallel, perpendicular, or neither. 3x - 12y = 11 64x + 12y = -18

neither

Find the solution to the system of equations: x + 3y = 7 2x + 6y = 15

no solution

Determine whether the lines are parallel, perpendicular, or neither. 6x + 2y = 8 9x + 3y = 15

parallel

Determine whether the lines are parallel, perpendicular, or neither. 6x + 2y = 8 21x + 7y = 29

parallel

Is the slope of the following line positive, negative, zero, or undefined? x = 10

undefined

Solve the inequality. Enter your answer with no spaces. -12-73<-2-2x-5

x<39

Solve the inequality for x. Type the or as shown in the example. Example: x is greater than or equal to negative 6 would be typed with NO spaces. x>_-6 -20x+36>__-4(4x-5)

x<_4

Solve the inequality. Enter your answer with no spaces. -10-4x<-3-3x-7

x>0

Solve the inequality for x. Type the or as shown in the example. Example: x is greater than or equal to negative 6 would be typed with NO spaces. x>_-6 5-3(1+x)<__14

x>__ -4

An electrician charges a fee of $45 plus $30 per hour. Let y be the cost in dollars of using the electrician for x hours. Choose t he correct equation.

y = 30x + 45

Which of the following relations is a function?

{(3,11), (-2,15), (7,11), (9,6)}

Determine the range of the following function: {(-3, 4), (4, 4), (3, 4)}.Select the best answer.

{4}