Algebra II unit 1

Decreasing the value of b decreases the line's intersection with the y-axis. intersection with the x-axis. steepness.

intersection with the y-axis.

2x + 3y =6 3y = −2x + 6 y = −2x3 + 63 y = − 2x3 + 2 The equation x + 2y = 16 is in standard form.What is the slope of the line? -2 -1 -0.5 0.5

-0.5

The formula gives the partial sum of an arithmetic sequence. What is the formula solved for an?

a

Which is the graph of y = 5x + 5?

b

Choose the slope-intercept form of 3x + 2y = 5.

b. y = -3/2x + 5/2

Paolo wrote the following equation for the perimeter of a rectangle. Which equation is equivalent to the equation Paolo wrote?

w= p -21/ 2

Ali currently has $25. He is going to start saving $5 every week. Which equation represents this situation? y = 25x - 5 y = 5x + 25 y = 25x + 5 y = 5x - 25

y = 5x + 25

Get-Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = ____ m + ____

2 2.5

Select all of the equations that represent linear relationships. 5 + 2y = 13 y = +7 y - 5 = 2(x - 1) = x + 7 x = -4

5 + 2y = 13 y - 5 = 2(x - 1) y/2 = x + 7

The equation represents the linear relationship between the cost of an order of widgets and the number of widgets ordered. Choose the scenario that matches the equation. A manufacturer sells widgets for $3.25 each. They charge a flat shipping rate on all orders. An order of 15 widgets costs $53.75. A manufacturer sells widgets. They charge a flat shipping rate of $3.25 on all orders. An order of 15 widgets costs $53.75. A manufacturer sells widgets for $15 each. They charge a flat shipping rate of $3.25 on all orders. An order costs $53.75.

a.A manufacturer sells widgets for $3.25 each. They charge a flat shipping rate on all orders. An order of 15 widgets costs $53.75.

The final velocity, V, of an object under constant acceleration can be found using the formula , where v is the initial velocity (in meters per second), a is acceleration (in meters per second), and s is the distance (in meters). What is the formula solved for a?

c

When is solved for c, one equation is Which of the following is an equivalent equation to find c?

c = (10b-10) 2 / 25

The cost to rent skis at a local sporting goods store is $15 plus $20 per day. Which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d? c = (15 + 20)d c = 15d + 20 c = 20d + 15 c = (15 + d)20

c = 20d + 15

The formula for the nth term of an arithmetic sequence can be found using the formula . Which of the following is equivalent to this equation?

d

Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the total income from the tickets (y)?

d

Which function is graphed on the coordinate plane below? f(x) = 2x - 6 f(x) = 2x + 6 f(x) = -2x + 6 f(x) = -2x - 6

f(x) = 2x - 6

If f(x) is a linear function, which statement must be true? f(x) has no constant term. f(x) has no x2-term. f(x) has no terms with a coefficient other than 1. f(x) has no x-term.

f(x) has no x2-term.

Gavin wrote the equation to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?

s= 4p-300 / 3

Which equation is equivalent to 4s=t+2

s= t+2/4

Increasing the value of m increases the line's intersection with the y-axis. intersection with the x-axis. steepness.

steepness.

A car enters a turnpike 22 miles north of a town. The car travels north at an average speed of 64 miles per hour. How far is the car from the town after 4 hours? Explain how you can use a linear function to solve this problem. Then, solve the problem.

278

If f(x) is a linear function, what is the value of n? 2 4 5 9

5

Ali currently has $25. He is going to start saving $5 every week. Ali's Savings Function Rule: y = 5x + 25 The rate of change of this function is __ Because this function has a ___ rate of change constant varying changing nonlinear The graph of this function is a __

5 constant line

What is the slope of the equation y= 5/4x - 7/4 ?

5/4

The graph of a function must be linear if it has what characteristic? It passes through the origin. It crosses the x-axis more than once. It crosses the y-axis exactly once It has a constant slope

It has a constant slope

If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true? The graph of f(x) has zero x-intercepts. The graph of f(x) has exactly one x-intercept. The graph of f(x) has exactly two x-intercepts. The graph of f(x) has infinitely many x-intercepts.

The graph of f(x) has exactly two x-intercepts.

Remmi wrote the equation of the line He solved for x and got Which of the following is an equivalent equation for x?

c

A student solves the equation for v. Start with the original equation. Use the division property of equality. Use the multiplication property of equality. Use the square root property of equality. Simplify. Which statement explains how to correct the error that was made? a.The subtraction property of equality should have been applied to move m to the other side of the equation. b.The multiplication property of equality should have been applied in the last step. c.The division property of equality should have been used to divide by k instead of m. d.The square root property should have been applied to both complete sides of the equation instead of to select variables.

d.The square root property should have been applied to both complete sides of the equation instead of to select variables.

One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation? the maximum weight allowed in a shipment the minimum weight of a single box of screws the minimum number of screws in a single box the maximum number of single boxes for a shipment

the maximum weight allowed in a shipment

Which equation is represented by the graph below? y = -2x + 2 y = -1/2x + 2 y = 1/2x + 2 y = 2x + 4

y = -1/2x + 2

The equation y - 2 = 3(x + 1) is in point-slope form. Which is the slope-intercept form? y = 3x + 1 y = 3x - 3 y = 3x + 5

y = 3x + 5

Choose the slope-intercept form of y + 3 = 4(x - 5). y = 4x - 8 y = 4x + 2 y = 4x + 17 y = 4x - 23

y = 4x - 23

The equation y=mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?

y-mx=b

Ali currently has $25. He is going to start saving $5 every week. Does this equation represent a function? yes no can't be determined

yes