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Mathbound · Contest practice

Systems of Equations worksheet

Mixed difficulty

Name

Date

1.
An item costs $70$ . It is discounted $15\%$ , then $10\%$ tax is applied to the discounted price. How much is paid?
- A.67.45
- B.65.45
- C.63.95
- D.60
- E.77
2.
An item costs $50$ . It is discounted $20\%$ , then $8\%$ tax is applied to the discounted price. How much is paid?
- A.41.70
- B.40
- C.54
- D.45.20
- E.43.20
3.
An item costs $40$ . It is discounted $15\%$ , then $8\%$ tax is applied to the discounted price. How much is paid?
- A.35.22
- B.34
- C.43
- D.38.72
- E.36.72
4.
Solve for $x$ : $3x+5=14$ .
- A.2
- B.3
- C.14
- D.4
- E.5
5.
An item costs $60$ . After a $10\%$ discount (no tax), how much is paid?
- A.50
- B.60
- C.55.00
- D.6
- E.54
6.
An item costs $48$ . After a $25\%$ discount (no tax), how much is paid?
- A.36
- B.23
- C.48
- D.37.00
- E.12
7.
Solve for $x$ : $3x+6=27$ .
- A.8
- B.6
- C.7
- D.27
- E.z4
8.
Solve for $x$ : $3x+1=13$ .
- A.5
- B.1
- C.3
- D.4
- E.13
9.
Solve for $x$ : $3x+4=10$ .
- A.2
- B.10
- C.3
- D.4
- E.1
10.
Solve for $x$ : $3x+5=17$ .
- A.5
- B.3
- C.4
- D.17
- E.z4

Answer key · worked solutions

1. B. 65.45
Discount first, then tax. $70\cdot(1-15/100)\cdot(1+10/100)$ . $65.45$ .
2. E. 43.20
Discount first, then tax. $50\cdot(1-20/100)\cdot(1+8/100)$ . $43.20$ .
3. E. 36.72
Discount first, then tax. $40\cdot(1-15/100)\cdot(1+8/100)$ . $36.72$ .
4. B. 3
Isolate $x$ . $3x=14-5$ . $3$ .
5. E. 54
Multiply by $(1-d)$ . $60(1-10/100)$ . $54$ .
6. A. 36
Multiply by $(1-d)$ . $48(1-25/100)$ . $36$ .
7. C. 7
Isolate $x$ . $3x=27-6$ . $7$ .
8. D. 4
Isolate $x$ . $3x=13-1$ . $4$ .
9. A. 2
Isolate $x$ . $3x=10-4$ . $2$ .
10. C. 4
Isolate $x$ . $3x=17-5$ . $4$ .

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