Review the following concepts if needed:

- Introduction to Variables Help
- Canceling with Variables Help
- Operations on Fractions with Variables Help
- Division and Compound Fractions Help
- Adding and Subtracting Fractions with Variables Help
- Variables in Word Problems Help

**Algebra Introduction to Variables Practice Test**

**1** . Reduce to lowest terms:

**2** . Rewrite as a product of a number and a variable:

**4** . The length of a square is twice the length of a smaller square. If *x* represents the length of the smaller square, then the length of the larger square is

**7** . A movie on DVD is on sale for off its regular price. If *x* represents the movie’s regular price, then the sale price is

**8** . Rewrite as a product of a number and a variable:

**13** . Suppose $6000 is invested in two stocks—Stock A and Stock B. If *x* represents the amount invested in Stock A, then the amount invested in Stock B is

(a) *x* – 6000 (b) *x* + 6000 (d) 6000 – *x*

**15** . Rewrite as a product of a number and algebraic factor (one with a variable in it):

(a) 1 · ( *x* – 1) (d) 1 · ( *x* – 2)

**Solutions**

**1** . (d) **2** . (a) **3** . (c) **4** . (d)

**5** . (b) **6** . (c) **7** . (d) **8** . (c)

**9** . (a) **10** . (a) **11** . (b) **12** . (c)

**13** . (d) **14** . (a) **15** . (b)

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