Name: ___________________________________________________________
1) Write an equation of the line graphed
2nd Nine Weeks Spiral Practice 9: 2-9
Monday (1/9/2017)
4) Graph: 𝒚 < 𝒙 + 𝟐
below in slope-intercept form.
Equation: ________________________________________
2) Solve the system of equations using any method of your choice.
𝒙 − 𝟐𝒚 = 𝟑
𝒚 = −𝟐𝒙 + 𝟔
5) Graph: 𝟐𝒙 + 𝟑𝒚 ≥ 𝟗
Solution: ( _____, _____ )
3) Write an equation in point-slope form of the line that passes
through (−𝟏, −𝟑) and has a slope of 5.
Equation: ________________________________________
1) Which inequality below represents the graph?
a. 𝒚 < 𝟐𝒙 − 𝟑
Tuesday (1/10/2017)
4) Solve the system of equations using any method of your choice.
𝒙+𝒚=𝟒
𝒙−𝒚=𝟔
b. 𝒚 ≥ 𝟐𝒙 − 𝟑
c. 𝒚 > −𝟐𝒙 − 𝟑
d. 𝒚 > 𝟐𝒙 − 𝟑
2) Write an inequality that represents the graph below.
Solution: ( _____, _____ )
5) Write the following equation in slope-intercept form:
𝟐
𝒙 − 𝒚 = 𝟏𝟎
𝟑
6) Suppose you and your friends decide to make salsa for the
upcoming fiesta in Spanish. You can spend at most $12 on red
peppers and tomatoes. Red peppers cost $4 per pound, and
tomatoes cost $3 per pound. Write an inequality that represents
the amount of red peppers (x) and tomatoes (y) you can buy.
Give TWO possible solutions for the amount of red peppers and
tomatoes bought.
Inequality: _____________________________
3) Which linear equation below has a slope of 4 and a y-intercept of
9?
a. 𝒚 = −𝟒𝒙 + 𝟗
b. 𝒚 = 𝟒𝒙 − 𝟗
c. 𝟒𝒙 − 𝒚 = −𝟗
d. 𝒚 = 𝟒𝒙 + 𝟗
Wednesday (1/11/2017)
4) You must spend less than $5 on notebooks and markers.
1) Graph: 𝟑𝒙 − 𝟐𝒚 ≤ 𝟒
𝒙 + 𝟑𝒚 ≤ 𝟔
Markers cost $1.00 each, and notebooks cost $1.25 each. Write an
inequality that represents the number of notebooks (x) and
markers (y) purchased.
Give TWO possible solutions for the number of notebooks and
markers purchased.
2) Write an equation of the line graphed
below in slope-intercept form.
5) Graph: 𝒚 > 𝟑𝒙 + 𝟐
𝒚 ≤ −𝟐𝒙 + 𝟕
Equation: _________________________________
3) Which system of inequalities shown below represents the graph?
a. 𝒚 < 𝟐𝒙 − 𝟏
c. 𝒚 ≥ 𝟐𝒙 − 𝟏
𝒚> 𝒙+𝟐
𝒚≥ 𝒙+𝟐
𝟏
𝟑
b. 𝒚 > 𝟐𝒙 − 𝟏
𝟏
𝒚> 𝒙+𝟐
𝟑
𝟏
𝟑
d. 𝒚 > 𝟐𝒙 − 𝟏
𝟏
𝒚≥ 𝒙+𝟐
𝟑
1) Which equation shown below represents the graph?
Thursday (1/12/2017)
3) Mary babysits for $4 per hour. She also walks dogs for $7 per
hour. She is only allowed to work 13 hours per week. She wants to
make at least $65. Write a system of inequalities that represents
the number of hours Mary can spend babysitting (x) and walking
dogs (y).
2) The perimeter of a garden must be less than 20 meters. The
width must be at least 6 meters. Write and graph a system of
inequalities that represents possible lengths (x) and widths (y) of
the garden. (Hint: 𝑷 = 𝟐𝒍 + 𝟐𝒘)
Give TWO possible solutions for the number of hours Mary spent
babysitting and walking dogs.
4) How many solutions does the system graphed below have?
a. One Solution
b. Two Solutions
c. No Solution
d. Infinitely many solutions
Give a possible solution for the length and width of the garden.