Grade 9 Algebra: Linear Equations & Quadratic Graphs Quiz

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

The sum of two numbers is 30. If one number is 4 more than the other, what are the two numbers?

• 10 and 20

• 12 and 18

• 15 and 15

• 13 and 17

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $35, how many miles did they drive?

• 100 miles

• 50 miles

• 75 miles

• 120 miles

A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 meters, what are the dimensions of the rectangle?

• Width: 8 meters, Length: 24 meters

• Width: 10 meters, Length: 30 meters

• Width: 6 meters, Length: 18 meters

• Width: 4 meters, Length: 12 meters

The height of a triangle is 5 cm less than its base. If the area of the triangle is 30 cm², what are the base and height of the triangle?

• Base: 6 cm, Height: 1 cm

• Base: 10 cm, Height: 5 cm

• Base: 8 cm, Height: 3 cm

• Base: 12 cm, Height: 7 cm

A quadratic function is represented by the equation y = x² - 4x + 3. What are the x-intercepts of the graph of this function?

• x = 0, x = 4

• x = 2, x = 3

• x = 1, x = 3

• x = -1, x = 5

A ball is thrown upwards from a height of 2 meters with an initial velocity of 10 m/s. The height of the ball after t seconds is given by the equation h(t) = -5t² + 10t + 2. How long will it take for the ball to hit the ground?

• 4.20 seconds

• 2.50 seconds

• 3.74 seconds

• 5.00 seconds

The cost of a concert ticket is $50, and there is a $10 service fee for each ticket purchased. If a group of friends spends a total of $200 on tickets, how many tickets did they buy?

• 3

• 5

• 4

• 2

A farmer has a rectangular field that is 4 meters longer than it is wide. If the area of the field is 96 square meters, what are the dimensions of the field?

• Width: 5 meters, Length: 9 meters

• Width: 8 meters, Length: 12 meters

• Width: 10 meters, Length: 14 meters

• Width: 6 meters, Length: 10 meters

The quadratic function f(x) = 2x² - 8x + 6 opens upwards. What is the vertex of the parabola represented by this function?

• (0, 6)

• (2, -2)

• (2, 0)

• (4, 6)