Algebra 2 Unit 3 Review

Find the solution.
 $y-3x=x^2-5$  

 $y-3=x$  

• (4,2) and (0,9)

• (-4,-1) and (2,5)

• (5,3) and (5,2)

• (-4,2) and (5,9)

Tags

CCSS.HSA.REI.C.7

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions
• 1 solution
• 2 solutions
• 3 solutions

Tags

CCSS.HSA.REI.C.7

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

Tags

CCSS.HSA.REI.C.7

Find the solution.
 $y+x^2=-9x-18$  

 $y=x+3$  

• (0,7) and (0,-3)

• (-7,-4) and (-3,0)

• (3,6) and (7,10)

• (-1,5) and (-3,9)

Tags

CCSS.HSA.REI.C.7

 A cannon is place at the base of a hill. The cannon is fired at an angle toward the hill. The path of the cannon ball is parabolic and can be represented by $y=-0.04x^2+4x+1$  where y represents the height of the ball in meters and x represents the horizontal distance of the ball from the cannon. The incline of the hill can be represented by the equation y = 0.8125x. How far will the cannon ball have moved horizontally from the cannon when it hits the hill?

(a)  

 $5x+6y=7z-10$  

 $2x-3y+2z=38$  

 $3x=24$  

Solve for x

• 7

• 9

• 8

• 6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

 $8x+3y+7z=7$  

 $2y+3z=-4$  

 $4y=-20$  

Solve for z

• z = -5

• z = 2

• z = -14/3

• z = 5

 $y-2z=12-2x$  
 $3x-y=26+4z$  
 $x+z=-3y$  

Solve the system

• (-4, 10, 2)

• (10, -4, 2)

• (10, 4, -2)

• (4, -10, -2)

Cookie Monster made snack bags for the streets picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars. A snack bag containing 5 of each type of snack costs $22.50. A snack bag containing 7 packages of crackers, 4 packages of cookies, and 11 candy bars costs $38.25. A snack bag containing 2 packages of crackers, 15 packages of cookies, and 5 candy bars cost $25.50. Solve a system of three linear equations in three variables to determine the cost of one cookie.

(a)  

Will my line be solid?
5 ≥ x

• Yes
• No