Guided TI-84 practice

Do the task. Check it. Learn from the result.

Work one set at a time. Use the calculator, reveal a hint only when you need it, and open the worked answer after you have made an attempt.

Open Calculator
Set 1

Calculator basics

3 questions

1. Calculate 78 + 15.

Suggested workflow: Enter the expression on the home screen and press ENTER.

Show hint

Check the plus sign and press ENTER.

Show worked answer

78 + 15 = 93.

2. Calculate (−3)².

Suggested workflow: Use the negative key for −3, wrap it in parentheses, then press x².

Show hint

The parentheses matter: (−3)² is positive.

Show worked answer

(−3)² = 9.

3. Calculate √144.

Suggested workflow: Use 2nd, x² to open the square-root template.

Show hint

Make sure 144 is inside the radical.

Show worked answer

√144 = 12.

Set 2

Graphing and tables

3 questions

4. For y = x² − 4, enter the positive x-intercept.

Suggested workflow: Graph the function and use 2nd, TRACE, zero.

Show hint

The graph crosses at −2 and 2; enter the positive value.

Show worked answer

The positive x-intercept is 2.

5. For y = 2x + 1, what is y when x = 3?

Suggested workflow: Graph the function and TRACE to x = 3, or use the table.

Show hint

Substitute x = 3 or read the table.

Show worked answer

2(3) + 1 = 7.

6. What is the vertex y-value of y = x² − 4?

Suggested workflow: Graph the parabola and use minimum from the CALC menu.

Show hint

The lowest point occurs at x = 0.

Show worked answer

The vertex is (0, −4), so the y-value is −4.

Set 3

Statistics and lists

3 questions

7. Find the mean of 4, 6, 6, 8 and 11.

Suggested workflow: Enter the data in L1 and run 1-Var Stats.

Show hint

Look for x̄ in the results.

Show worked answer

The sum is 35 and 35 ÷ 5 = 7.

8. Find the median of 4, 6, 6, 8 and 11.

Suggested workflow: Run 1-Var Stats and read Med.

Show hint

The middle value in the ordered list is the median.

Show worked answer

The median is 6.

9. Find the range of 4, 6, 6, 8 and 11.

Suggested workflow: Use the minimum and maximum from the statistics results.

Show hint

Subtract the minimum from the maximum.

Show worked answer

11 − 4 = 7.

Set 4

Matrices

3 questions

10. Find det([[2,1],[3,4]]).

Suggested workflow: Create matrix [A], then use det([A]).

Show hint

For a 2×2 matrix, det = ad − bc.

Show worked answer

2×4 − 1×3 = 5.

11. Add [[1,2],[3,4]] and [[5,6],[7,8]]. Enter the top-left value.

Suggested workflow: Store the matrices as [A] and [B], then calculate [A]+[B].

Show hint

Add corresponding entries.

Show worked answer

1 + 5 = 6.

12. Multiply [[1,0],[0,1]] by [[5,6],[7,8]]. Enter the bottom-right value.

Suggested workflow: The first matrix is the identity matrix.

Show hint

Multiplying by the identity leaves the matrix unchanged.

Show worked answer

The product is [[5,6],[7,8]], so the bottom-right value is 8.

Set 5

Trigonometry

3 questions

13. In Degree mode, calculate sin(30).

Suggested workflow: Set MODE to Degree, then enter sin(30).

Show hint

If the answer is not 0.5, check the angle mode.

Show worked answer

sin(30°) = 0.5.

14. In Degree mode, calculate cos(60).

Suggested workflow: Set MODE to Degree, then enter cos(60).

Show hint

Cosine of 60 degrees is a common exact value.

Show worked answer

cos(60°) = 0.5.

15. In Degree mode, calculate tan(45).

Suggested workflow: Set MODE to Degree, then enter tan(45).

Show hint

Check that the calculator is not in Radian mode.

Show worked answer

tan(45°) = 1.