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Semester 1 exam 2020/21

Last updated over 4 years ago
57 questions
Go through the paper and see which questions you want to review. After that come back here, below are 3 videos explaining all the questions.

Integrated Math 1

Semester 1 Exam

Please Note:
If you have more than one answer, then separate the answers with a comma e.g. x = 3, x=5

if a question has two parts of an answer then also separate by a comma. e.g. write and solve an equation?
Answer exmple: 3x+4=10, x=2
2

Solve the equation

3

Solve the equation

3

Solve the equation

4

Solve the equation

5

Solve the equation

3

The street sign shown is a regular hexagon with side lengths of (18.5x-4.3) cm. The perimeter of the sign is 1428.3 cm.


Write the equation and solve to find the value of x

2

The street sign shown is a regular hexagon with side lengths of (18.5x-4.3) cm. The perimeter of the sign is 1428.3 cm.


There are 36 of these street signs throughout the town. A special reflective border is used around the edge of the signs.

How many meters of the reflective border is needed??
Write your answer to the nearest meter

3

You have $114 in a savings account and save $12 per week. Your friend has $90 in a savings account and saves $16 per week. How many weeks will it take for you and your friend to have the same balance?

1

Solve the equation

1

In a speech class, students must give a final speech for their exam. The speech can be 14 minutes, or within that time by 2 minute. Write an absolute value equation that represents the minimum and maximum lengths of the final speech.

5

Solve the equation. Check your solutions.
|-5v-8|=|10v-7|

1

Write the sentence as an inequality

8.8 less than K is more than 31

2

Solve the inequality and graph the soluion.

1

Solve the inequality and choose the right graph.

0 < x - 3 < 5


5

Solve the inequality.

1

Solve the inequality.

6

Solve the inequality.

1

Solve the inequality.

0

The maximum speed of a car on a trip is 60 miles per hour. Write and solve an inequality that represents the number of hours it takes the car to travel a maximum of 360 miles.


remember: if a question has two parts of an answer then also separate by a comma. e.g. write and solve an equation?
Answer exmple: 3x+4=10, x=2

2

Find the DOMAIN of the data below.

2

Find the RANGE of the data below.

2

Find the DOMAIN of the graph below

2

Find the RANGE of the graph below

2

For the function, n(x) = 8x-5

Find the value of x so that n(x) = 19

2

For the function,


Find the value of x so that q(x) = 13

3

Graph the function

3

Which equations represent linear functions?

1

Determine whether the graph represents a function

1

Determine whether the graph represents a function

1

Does the graph represent a linear or nonlinear function?

1

Does the graph represent a linear or nonlinear function?

2

Evaluate the function when x = -3

2

Evaluate the function when x = -3

3

Use intercepts to graph the linear equation. Label the points corresponding to the intercepts.

3x+2y=12

1

Find the SLOPE of the linear equation.
y=-3x-9

1

Find the Y-INTERCEPT of the linear equation.
y=-3x-9

1

Find the SLOPE of the linear equation.

1

Find the Y-INTERCEPT of the linear equation.

2

Find the SLOPE of the linear equation.

2

Find the Y-INTERCEPT of the linear equation.

2

Find the X-INTERCEPT of the linear equation.

5

Graph the inequality.

3

You can spend at most £80 on cans of paint and paint brushes. The cans of paint cost £30 each and paint brushes cost £2 each.

Write an inequality for the number of cans of paint and paint brushes you can buy. use x for cans of paint and y for paint brushes

2

You can spend at most £80 on cans of paint and paint brushes. Cans of paint cost £30 each and paint brushes cost £2 each.

Can you buy 2 cans of paint and 3 paint brushes? Explain.

1

Write an equation in slope-intercept form for the following information.

Slope = -2
y-intercept = 0

2

Write an equation in slope-intercept form for the following information.


2

Write a linear function with the values
f(0)=4 and f(6)=2

4

For a field trip, a bus company charges a flat fee plus an additional fee per student. For 30 students, the total cost is £200. If there are 50 students, the total cost is £290.

Write an equation that represents the total cost y of the field trip for x students.

2

Write an equation of the line that passes through (6, 2) and is parallel to the line y=-4x+1

3

Write an equation of the line that passes through (4, -1) and is perpendicular to the line

4

The path that you take to go from school to the library (shown in bold) is perpendicular to the path that takes you from home to the park. Write an equation that represents the path shown in bold.

1

Which two pairs of points lie on parallel lines?

1

Which lines are parallel

1

Tell whether x and y show a positive, a negative, or no correlation.

1

Tell whether x and y show a positive, a negative, or no correlation.

7

The table shows the distance you travel over a 3-hour period.


Plot this data,

draw a line of fit

write an equation that models the function of the data.

2

The table shows the distance you travel over a 3-hour period.


Interpret the slope of the equation you created in the previous question.