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Baldi's Math Quiz: 26: Rationals

Total questions: 1

Worksheet time: 11mins

Name
Class
Date
1-9.

Lesson 9-β: Rationals

レッスン 9-β: 有理数

When we have an equation where the variable is in the denominator of a quotient, that's a rational equation. We can solve it by multiplying both sides by the denominator, but we have to look out for extraneous solutions in the process.

変数が商の分母にある方程式がある場合、それは有理方程式です。 両辺に分母を掛けることで解くことができますが、その過程で無関係な解がないか注意する必要があります。

1.

One Step: Solve the equation 9 x7=32\frac{9\ x}{7}=\frac{3}{2} .

(a)  

2.

One Step: Solve for u in the equation 11 u2=56\frac{11\ u}{2}=\frac{5}{6} .

(a)  

3.

One Step: Solve for x: −x3=1910-\frac{x}{3}=\frac{19}{10}

(a)  

4.

Two Step: Solve for x in the equation x3+58=0\frac{x}{3}+\frac{5}{8}=0 .

(a)  

5.

Two Step: Solve for x: 95−9 x5=92\frac{9}{5}-\frac{9\ x}{5}=\frac{9}{2}

(a)  

6.

Two Step: Solve 12 x11−43=14\frac{12\ x}{11}-\frac{4}{3}=\frac{1}{4} for x.

(a)  

7.

Multi Step: Solve for n in the equation n2−6 n+8n−1=0\frac{n^2-6\ n+8}{n-1}=0 .

(a)  

8.

Multi Step: Solve for y in the equation y3− 10 y2+ 24 yy−6=0\frac{y^3-\ 10\ y^2+\ 24\ y}{y-6}=0

(a)  

9.

Multi Step: Find all the values of x such that x3−9 x2+15 x−7x2−x=0\frac{x^3-9\ x^2+15\ x-7}{x^2-x}=0

(a)