alg 1 practice

systems of equations (graphically)

100

Two lines intersect at the point (2,3).

What is the solution to the system?

(2,3)

200

A graph shows two lines crossing at (-1,4).
What is the solution to the system?

(-1,4)

300

Two lines intersect at the point where x = 3 and y = -2.
What is the solution?

(3,-2)

400

Two lines are graphed with the same slope and different y-intercepts.
How many solutions does the system have?

No solution

500

Two equations graph as the exact same line.
How many solutions does the system have?

Infinitely many solutions

systems of equations (algebraically)

100

x + y = 8
y = 3

(5,3)

200

x + y = 9
x − y = 3

(6,3)

300

y = 2x + 1
y = x + 4

(3,7)

400

2x + y = 11
x + y = 7

(4,3)

500

3x + y = 13
x − y = 1

(3,4)

parallel and perpendicular lines

100

Find the slope of a line parallel to
y = 4x − 3

y=4

200

Find the slope of a line perpendicular to
y = 2x + 7

y=-1/2

300

Find the slope of a line parallel to
3x − y = 5

y=3

400

Find the slope of a line perpendicular to
y = −3x + 8

y=1/3

500

Find the equation of a line parallel to y = 2x + 5 that passes through (1,4).

y = 2x + 2

find slope-intercept form

100

Rewrite in slope-intercept form:

y − 4 = 3(x − 2)

y = 3x − 2

200

Rewrite in slope-intercept form:

2y = 12x + 18

y=6x+9

300

Rewrite in slope-intercept form:

3x + y = 12

y = −3x + 12

400

Rewrite in slope-intercept form:

4x + 2y = 10

y = −2x + 5

500

Rewrite in slope-intercept form:

5x − 2y = 8

y = (5/2)x − 4

linear functions

100

Find f(4) if
f(x) = 2x + 1

9

200

Find g(−3) if
g(x) = −2x + 5

11

300

Find f(5) if
f(x) = 3x − 7

8

400

Find h(−2) if
h(x) = −4x + 3

11

500

Find f(6) if
f(x) = 2x² − 5x + 1

43